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Finding the Fourth Proportional to 912.76, 1,259.64 and 498.76

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Solution

The fourth proportional to 912.76, 1,259.64 and 498.76 is: 688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.76 : 1,259.64 = 498.76 : x
  2. Step 2: Convert to fraction form
    912.76/1,259.64 = 498.76/x
  3. Step 3: Cross multiply
    912.76x = 1,259.64 × 498.76
  4. Step 4: Simplify right side
    912.76x = 628,258.05
  5. Step 5: Solve for x
    x = 628,258.05/912.76
  6. Step 6: Final answer
    x = 688.31

Related Problems

Find fourth proportional to 456.38, 629.82 and 249.38
Half scale
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Double scale
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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.