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Finding the Fourth Proportional to 642.34, 886.12 and 406

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Solution

The fourth proportional to 642.34, 886.12 and 406 is: 560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.34 : 886.12 = 406 : x
  2. Step 2: Convert to fraction form
    642.34/886.12 = 406/x
  3. Step 3: Cross multiply
    642.34x = 886.12 × 406
  4. Step 4: Simplify right side
    642.34x = 359,764.72
  5. Step 5: Solve for x
    x = 359,764.72/642.34
  6. Step 6: Final answer
    x = 560.08

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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.