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Finding the Fourth Proportional to 514.89, 711.05 and 318.47

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Solution

The fourth proportional to 514.89, 711.05 and 318.47 is: 439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.89 : 711.05 = 318.47 : x
  2. Step 2: Convert to fraction form
    514.89/711.05 = 318.47/x
  3. Step 3: Cross multiply
    514.89x = 711.05 × 318.47
  4. Step 4: Simplify right side
    514.89x = 226,442.95
  5. Step 5: Solve for x
    x = 226,442.95/514.89
  6. Step 6: Final answer
    x = 439.79

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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.