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Finding the Fourth Proportional to 442.27, 658.50 and 440.91

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Solution

The fourth proportional to 442.27, 658.50 and 440.91 is: 656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.27 : 658.50 = 440.91 : x
  2. Step 2: Convert to fraction form
    442.27/658.50 = 440.91/x
  3. Step 3: Cross multiply
    442.27x = 658.50 × 440.91
  4. Step 4: Simplify right side
    442.27x = 290,339.24
  5. Step 5: Solve for x
    x = 290,339.24/442.27
  6. Step 6: Final answer
    x = 656.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.