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Finding the Fourth Proportional to 532.20, 732.87 and 384.57

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Solution

The fourth proportional to 532.20, 732.87 and 384.57 is: 529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 732.87 = 384.57 : x
  2. Step 2: Convert to fraction form
    532.20/732.87 = 384.57/x
  3. Step 3: Cross multiply
    532.20x = 732.87 × 384.57
  4. Step 4: Simplify right side
    532.20x = 281,839.82
  5. Step 5: Solve for x
    x = 281,839.82/532.20
  6. Step 6: Final answer
    x = 529.58

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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.