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Finding the Fourth Proportional to 508.31, 762.60 and 310.87

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Solution

The fourth proportional to 508.31, 762.60 and 310.87 is: 466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 762.60 = 310.87 : x
  2. Step 2: Convert to fraction form
    508.31/762.60 = 310.87/x
  3. Step 3: Cross multiply
    508.31x = 762.60 × 310.87
  4. Step 4: Simplify right side
    508.31x = 237,070.59
  5. Step 5: Solve for x
    x = 237,070.59/508.31
  6. Step 6: Final answer
    x = 466.39

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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.