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Finding the Fourth Proportional to 642.20, 886.02 and 409.46

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Solution

The fourth proportional to 642.20, 886.02 and 409.46 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.20 : 886.02 = 409.46 : x
  2. Step 2: Convert to fraction form
    642.20/886.02 = 409.46/x
  3. Step 3: Cross multiply
    642.20x = 886.02 × 409.46
  4. Step 4: Simplify right side
    642.20x = 362,789.75
  5. Step 5: Solve for x
    x = 362,789.75/642.20
  6. Step 6: Final answer
    x = 564.92

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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.