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Finding the Fourth Proportional to 658.33, 905.79 and 642.13

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Solution

The fourth proportional to 658.33, 905.79 and 642.13 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.33 : 905.79 = 642.13 : x
  2. Step 2: Convert to fraction form
    658.33/905.79 = 642.13/x
  3. Step 3: Cross multiply
    658.33x = 905.79 × 642.13
  4. Step 4: Simplify right side
    658.33x = 581,634.93
  5. Step 5: Solve for x
    x = 581,634.93/658.33
  6. Step 6: Final answer
    x = 883.50

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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.