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Finding the Fourth Proportional to 931.43, 1,397.14 and 354.31

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Solution

The fourth proportional to 931.43, 1,397.14 and 354.31 is: 531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.43 : 1,397.14 = 354.31 : x
  2. Step 2: Convert to fraction form
    931.43/1,397.14 = 354.31/x
  3. Step 3: Cross multiply
    931.43x = 1,397.14 × 354.31
  4. Step 4: Simplify right side
    931.43x = 495,020.67
  5. Step 5: Solve for x
    x = 495,020.67/931.43
  6. Step 6: Final answer
    x = 531.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.