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Finding the Fourth Proportional to 642.48, 961.92 and 534.66

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Solution

The fourth proportional to 642.48, 961.92 and 534.66 is: 800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 961.92 = 534.66 : x
  2. Step 2: Convert to fraction form
    642.48/961.92 = 534.66/x
  3. Step 3: Cross multiply
    642.48x = 961.92 × 534.66
  4. Step 4: Simplify right side
    642.48x = 514,300.15
  5. Step 5: Solve for x
    x = 514,300.15/642.48
  6. Step 6: Final answer
    x = 800.49

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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.