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Finding the Fourth Proportional to 478.25, 658.37 and 429.11

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Solution

The fourth proportional to 478.25, 658.37 and 429.11 is: 590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.25 : 658.37 = 429.11 : x
  2. Step 2: Convert to fraction form
    478.25/658.37 = 429.11/x
  3. Step 3: Cross multiply
    478.25x = 658.37 × 429.11
  4. Step 4: Simplify right side
    478.25x = 282,511.01
  5. Step 5: Solve for x
    x = 282,511.01/478.25
  6. Step 6: Final answer
    x = 590.72

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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.