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Finding the Fourth Proportional to 534.84, 800.82 and 472.92

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Solution

The fourth proportional to 534.84, 800.82 and 472.92 is: 708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 800.82 = 472.92 : x
  2. Step 2: Convert to fraction form
    534.84/800.82 = 472.92/x
  3. Step 3: Cross multiply
    534.84x = 800.82 × 472.92
  4. Step 4: Simplify right side
    534.84x = 378,723.79
  5. Step 5: Solve for x
    x = 378,723.79/534.84
  6. Step 6: Final answer
    x = 708.11

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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.