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Finding the Fourth Proportional to 590.97, 886.91 and 409.63

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Solution

The fourth proportional to 590.97, 886.91 and 409.63 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.97 : 886.91 = 409.63 : x
  2. Step 2: Convert to fraction form
    590.97/886.91 = 409.63/x
  3. Step 3: Cross multiply
    590.97x = 886.91 × 409.63
  4. Step 4: Simplify right side
    590.97x = 363,304.94
  5. Step 5: Solve for x
    x = 363,304.94/590.97
  6. Step 6: Final answer
    x = 614.76

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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.