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Finding the Fourth Proportional to 531.58, 733.50 and 310.54

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Solution

The fourth proportional to 531.58, 733.50 and 310.54 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.58 : 733.50 = 310.54 : x
  2. Step 2: Convert to fraction form
    531.58/733.50 = 310.54/x
  3. Step 3: Cross multiply
    531.58x = 733.50 × 310.54
  4. Step 4: Simplify right side
    531.58x = 227,781.09
  5. Step 5: Solve for x
    x = 227,781.09/531.58
  6. Step 6: Final answer
    x = 428.50

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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.