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Finding the Fourth Proportional to 658.31, 907.54 and 448.16

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Solution

The fourth proportional to 658.31, 907.54 and 448.16 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.31 : 907.54 = 448.16 : x
  2. Step 2: Convert to fraction form
    658.31/907.54 = 448.16/x
  3. Step 3: Cross multiply
    658.31x = 907.54 × 448.16
  4. Step 4: Simplify right side
    658.31x = 406,723.13
  5. Step 5: Solve for x
    x = 406,723.13/658.31
  6. Step 6: Final answer
    x = 617.83

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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.