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Finding the Fourth Proportional to 690, 952.62 and 542.28

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Solution

The fourth proportional to 690, 952.62 and 542.28 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 952.62 = 542.28 : x
  2. Step 2: Convert to fraction form
    690/952.62 = 542.28/x
  3. Step 3: Cross multiply
    690x = 952.62 × 542.28
  4. Step 4: Simplify right side
    690x = 516,586.77
  5. Step 5: Solve for x
    x = 516,586.77/690
  6. Step 6: Final answer
    x = 748.68

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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.