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Finding the Fourth Proportional to 658.01, 908.12 and 491.94

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Solution

The fourth proportional to 658.01, 908.12 and 491.94 is: 678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.01 : 908.12 = 491.94 : x
  2. Step 2: Convert to fraction form
    658.01/908.12 = 491.94/x
  3. Step 3: Cross multiply
    658.01x = 908.12 × 491.94
  4. Step 4: Simplify right side
    658.01x = 446,736.01
  5. Step 5: Solve for x
    x = 446,736.01/658.01
  6. Step 6: Final answer
    x = 678.92

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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.