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Finding the Fourth Proportional to 688.31, 951.06 and 542.10

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Solution

The fourth proportional to 688.31, 951.06 and 542.10 is: 749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.31 : 951.06 = 542.10 : x
  2. Step 2: Convert to fraction form
    688.31/951.06 = 542.10/x
  3. Step 3: Cross multiply
    688.31x = 951.06 × 542.10
  4. Step 4: Simplify right side
    688.31x = 515,569.63
  5. Step 5: Solve for x
    x = 515,569.63/688.31
  6. Step 6: Final answer
    x = 749.04

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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.