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Finding the Fourth Proportional to 474.12, 711.72 and 442.80

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Solution

The fourth proportional to 474.12, 711.72 and 442.80 is: 664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 711.72 = 442.80 : x
  2. Step 2: Convert to fraction form
    474.12/711.72 = 442.80/x
  3. Step 3: Cross multiply
    474.12x = 711.72 × 442.80
  4. Step 4: Simplify right side
    474.12x = 315,149.62
  5. Step 5: Solve for x
    x = 315,149.62/474.12
  6. Step 6: Final answer
    x = 664.70

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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.