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Finding the Fourth Proportional to 531.81, 732.87 and 384.17

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Solution

The fourth proportional to 531.81, 732.87 and 384.17 is: 529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.81 : 732.87 = 384.17 : x
  2. Step 2: Convert to fraction form
    531.81/732.87 = 384.17/x
  3. Step 3: Cross multiply
    531.81x = 732.87 × 384.17
  4. Step 4: Simplify right side
    531.81x = 281,543.00
  5. Step 5: Solve for x
    x = 281,543.00/531.81
  6. Step 6: Final answer
    x = 529.41

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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.