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Finding the Fourth Proportional to 1,180.68, 1,629.30 and 656.76

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Solution

The fourth proportional to 1,180.68, 1,629.30 and 656.76 is: 906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.68 : 1,629.30 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,180.68/1,629.30 = 656.76/x
  3. Step 3: Cross multiply
    1,180.68x = 1,629.30 × 656.76
  4. Step 4: Simplify right side
    1,180.68x = 1,070,059.07
  5. Step 5: Solve for x
    x = 1,070,059.07/1,180.68
  6. Step 6: Final answer
    x = 906.31

Related Problems

Find fourth proportional to 590.34, 814.65 and 328.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.