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Finding the Fourth Proportional to 605.47, 906.38 and 429.15

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Solution

The fourth proportional to 605.47, 906.38 and 429.15 is: 642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.47 : 906.38 = 429.15 : x
  2. Step 2: Convert to fraction form
    605.47/906.38 = 429.15/x
  3. Step 3: Cross multiply
    605.47x = 906.38 × 429.15
  4. Step 4: Simplify right side
    605.47x = 388,972.98
  5. Step 5: Solve for x
    x = 388,972.98/605.47
  6. Step 6: Final answer
    x = 642.43

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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.