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Finding the Fourth Proportional to 643.04, 886.92 and 410.24

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Solution

The fourth proportional to 643.04, 886.92 and 410.24 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.04 : 886.92 = 410.24 : x
  2. Step 2: Convert to fraction form
    643.04/886.92 = 410.24/x
  3. Step 3: Cross multiply
    643.04x = 886.92 × 410.24
  4. Step 4: Simplify right side
    643.04x = 363,850.06
  5. Step 5: Solve for x
    x = 363,850.06/643.04
  6. Step 6: Final answer
    x = 565.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.