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Finding the Fourth Proportional to 438.92, 658.83 and 420.47

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Solution

The fourth proportional to 438.92, 658.83 and 420.47 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.92 : 658.83 = 420.47 : x
  2. Step 2: Convert to fraction form
    438.92/658.83 = 420.47/x
  3. Step 3: Cross multiply
    438.92x = 658.83 × 420.47
  4. Step 4: Simplify right side
    438.92x = 277,017.15
  5. Step 5: Solve for x
    x = 277,017.15/438.92
  6. Step 6: Final answer
    x = 631.14

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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.