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Finding the Fourth Proportional to 2,605.91, 3,908.87 and 658.11

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Solution

The fourth proportional to 2,605.91, 3,908.87 and 658.11 is: 987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.91 : 3,908.87 = 658.11 : x
  2. Step 2: Convert to fraction form
    2,605.91/3,908.87 = 658.11/x
  3. Step 3: Cross multiply
    2,605.91x = 3,908.87 × 658.11
  4. Step 4: Simplify right side
    2,605.91x = 2,572,463.15
  5. Step 5: Solve for x
    x = 2,572,463.15/2,605.91
  6. Step 6: Final answer
    x = 987.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.