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Finding the Fourth Proportional to 1,180.79, 1,629.62 and 656.87

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Solution

The fourth proportional to 1,180.79, 1,629.62 and 656.87 is: 906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.79 : 1,629.62 = 656.87 : x
  2. Step 2: Convert to fraction form
    1,180.79/1,629.62 = 656.87/x
  3. Step 3: Cross multiply
    1,180.79x = 1,629.62 × 656.87
  4. Step 4: Simplify right side
    1,180.79x = 1,070,445.21
  5. Step 5: Solve for x
    x = 1,070,445.21/1,180.79
  6. Step 6: Final answer
    x = 906.55

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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.