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Finding the Fourth Proportional to 1,105.91, 1,658.87 and 284.18

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Solution

The fourth proportional to 1,105.91, 1,658.87 and 284.18 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.91 : 1,658.87 = 284.18 : x
  2. Step 2: Convert to fraction form
    1,105.91/1,658.87 = 284.18/x
  3. Step 3: Cross multiply
    1,105.91x = 1,658.87 × 284.18
  4. Step 4: Simplify right side
    1,105.91x = 471,417.68
  5. Step 5: Solve for x
    x = 471,417.68/1,105.91
  6. Step 6: Final answer
    x = 426.27

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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.