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Finding the Fourth Proportional to 642.24, 961.92 and 459.84

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Solution

The fourth proportional to 642.24, 961.92 and 459.84 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 961.92 = 459.84 : x
  2. Step 2: Convert to fraction form
    642.24/961.92 = 459.84/x
  3. Step 3: Cross multiply
    642.24x = 961.92 × 459.84
  4. Step 4: Simplify right side
    642.24x = 442,329.29
  5. Step 5: Solve for x
    x = 442,329.29/642.24
  6. Step 6: Final answer
    x = 688.73

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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.