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Finding the Fourth Proportional to 951, 1,312.25 and 531.31

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Solution

The fourth proportional to 951, 1,312.25 and 531.31 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    951 : 1,312.25 = 531.31 : x
  2. Step 2: Convert to fraction form
    951/1,312.25 = 531.31/x
  3. Step 3: Cross multiply
    951x = 1,312.25 × 531.31
  4. Step 4: Simplify right side
    951x = 697,211.55
  5. Step 5: Solve for x
    x = 697,211.55/951
  6. Step 6: Final answer
    x = 733.14

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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.