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Finding the Fourth Proportional to 442.56, 658.62 and 429.60

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Solution

The fourth proportional to 442.56, 658.62 and 429.60 is: 639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 658.62 = 429.60 : x
  2. Step 2: Convert to fraction form
    442.56/658.62 = 429.60/x
  3. Step 3: Cross multiply
    442.56x = 658.62 × 429.60
  4. Step 4: Simplify right side
    442.56x = 282,943.15
  5. Step 5: Solve for x
    x = 282,943.15/442.56
  6. Step 6: Final answer
    x = 639.33

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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.