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Finding the Fourth Proportional to 658.83, 906.48 and 642.63

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Solution

The fourth proportional to 658.83, 906.48 and 642.63 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.83 : 906.48 = 642.63 : x
  2. Step 2: Convert to fraction form
    658.83/906.48 = 642.63/x
  3. Step 3: Cross multiply
    658.83x = 906.48 × 642.63
  4. Step 4: Simplify right side
    658.83x = 582,531.24
  5. Step 5: Solve for x
    x = 582,531.24/658.83
  6. Step 6: Final answer
    x = 884.19

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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.