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Finding the Fourth Proportional to 442.62, 660.15 and 429.30

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Solution

The fourth proportional to 442.62, 660.15 and 429.30 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.62 : 660.15 = 429.30 : x
  2. Step 2: Convert to fraction form
    442.62/660.15 = 429.30/x
  3. Step 3: Cross multiply
    442.62x = 660.15 × 429.30
  4. Step 4: Simplify right side
    442.62x = 283,402.40
  5. Step 5: Solve for x
    x = 283,402.40/442.62
  6. Step 6: Final answer
    x = 640.28

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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.