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Finding the Fourth Proportional to 642.16, 886.26 and 467.92

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Solution

The fourth proportional to 642.16, 886.26 and 467.92 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.16 : 886.26 = 467.92 : x
  2. Step 2: Convert to fraction form
    642.16/886.26 = 467.92/x
  3. Step 3: Cross multiply
    642.16x = 886.26 × 467.92
  4. Step 4: Simplify right side
    642.16x = 414,698.78
  5. Step 5: Solve for x
    x = 414,698.78/642.16
  6. Step 6: Final answer
    x = 645.79

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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.