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Finding the Fourth Proportional to 531.38, 733.72 and 345

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Solution

The fourth proportional to 531.38, 733.72 and 345 is: 476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.38 : 733.72 = 345 : x
  2. Step 2: Convert to fraction form
    531.38/733.72 = 345/x
  3. Step 3: Cross multiply
    531.38x = 733.72 × 345
  4. Step 4: Simplify right side
    531.38x = 253,133.40
  5. Step 5: Solve for x
    x = 253,133.40/531.38
  6. Step 6: Final answer
    x = 476.37

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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.