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Finding the Fourth Proportional to 518.40, 711.24 and 474.88

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Solution

The fourth proportional to 518.40, 711.24 and 474.88 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 711.24 = 474.88 : x
  2. Step 2: Convert to fraction form
    518.40/711.24 = 474.88/x
  3. Step 3: Cross multiply
    518.40x = 711.24 × 474.88
  4. Step 4: Simplify right side
    518.40x = 337,753.65
  5. Step 5: Solve for x
    x = 337,753.65/518.40
  6. Step 6: Final answer
    x = 651.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.