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Finding the Fourth Proportional to 531.55, 733.31 and 383.86

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Solution

The fourth proportional to 531.55, 733.31 and 383.86 is: 529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.55 : 733.31 = 383.86 : x
  2. Step 2: Convert to fraction form
    531.55/733.31 = 383.86/x
  3. Step 3: Cross multiply
    531.55x = 733.31 × 383.86
  4. Step 4: Simplify right side
    531.55x = 281,487.50
  5. Step 5: Solve for x
    x = 281,487.50/531.55
  6. Step 6: Final answer
    x = 529.56

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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.