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Finding the Fourth Proportional to 531.78, 795.24 and 477.38

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Solution

The fourth proportional to 531.78, 795.24 and 477.38 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 795.24 = 477.38 : x
  2. Step 2: Convert to fraction form
    531.78/795.24 = 477.38/x
  3. Step 3: Cross multiply
    531.78x = 795.24 × 477.38
  4. Step 4: Simplify right side
    531.78x = 379,627.70
  5. Step 5: Solve for x
    x = 379,627.70/531.78
  6. Step 6: Final answer
    x = 713.88

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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.