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Finding the Fourth Proportional to 931.40, 1,402.52 and 673.17

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Solution

The fourth proportional to 931.40, 1,402.52 and 673.17 is: 1,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.40 : 1,402.52 = 673.17 : x
  2. Step 2: Convert to fraction form
    931.40/1,402.52 = 673.17/x
  3. Step 3: Cross multiply
    931.40x = 1,402.52 × 673.17
  4. Step 4: Simplify right side
    931.40x = 944,129.55
  5. Step 5: Solve for x
    x = 944,129.55/931.40
  6. Step 6: Final answer
    x = 1,013.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.