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Finding the Fourth Proportional to 531.76, 733.92 and 384.60

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Solution

The fourth proportional to 531.76, 733.92 and 384.60 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.76 : 733.92 = 384.60 : x
  2. Step 2: Convert to fraction form
    531.76/733.92 = 384.60/x
  3. Step 3: Cross multiply
    531.76x = 733.92 × 384.60
  4. Step 4: Simplify right side
    531.76x = 282,265.63
  5. Step 5: Solve for x
    x = 282,265.63/531.76
  6. Step 6: Final answer
    x = 530.81

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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.