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Finding the Fourth Proportional to 508.78, 763.36 and 311.53

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Solution

The fourth proportional to 508.78, 763.36 and 311.53 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 763.36 = 311.53 : x
  2. Step 2: Convert to fraction form
    508.78/763.36 = 311.53/x
  3. Step 3: Cross multiply
    508.78x = 763.36 × 311.53
  4. Step 4: Simplify right side
    508.78x = 237,806.85
  5. Step 5: Solve for x
    x = 237,806.85/508.78
  6. Step 6: Final answer
    x = 467.41

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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.