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Finding the Fourth Proportional to 442.97, 661.23 and 410.85

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Solution

The fourth proportional to 442.97, 661.23 and 410.85 is: 613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 661.23 = 410.85 : x
  2. Step 2: Convert to fraction form
    442.97/661.23 = 410.85/x
  3. Step 3: Cross multiply
    442.97x = 661.23 × 410.85
  4. Step 4: Simplify right side
    442.97x = 271,666.35
  5. Step 5: Solve for x
    x = 271,666.35/442.97
  6. Step 6: Final answer
    x = 613.28

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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.