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Finding the Fourth Proportional to 912.43, 1,259.04 and 519.40

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Solution

The fourth proportional to 912.43, 1,259.04 and 519.40 is: 716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.43 : 1,259.04 = 519.40 : x
  2. Step 2: Convert to fraction form
    912.43/1,259.04 = 519.40/x
  3. Step 3: Cross multiply
    912.43x = 1,259.04 × 519.40
  4. Step 4: Simplify right side
    912.43x = 653,945.38
  5. Step 5: Solve for x
    x = 653,945.38/912.43
  6. Step 6: Final answer
    x = 716.71

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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.