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Finding the Fourth Proportional to 1,217.64, 1,680.34 and 658.11

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Solution

The fourth proportional to 1,217.64, 1,680.34 and 658.11 is: 908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.64 : 1,680.34 = 658.11 : x
  2. Step 2: Convert to fraction form
    1,217.64/1,680.34 = 658.11/x
  3. Step 3: Cross multiply
    1,217.64x = 1,680.34 × 658.11
  4. Step 4: Simplify right side
    1,217.64x = 1,105,838.91
  5. Step 5: Solve for x
    x = 1,105,838.91/1,217.64
  6. Step 6: Final answer
    x = 908.18

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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.