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Finding the Fourth Proportional to 1,119.93, 1,680.50 and 658.61

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Solution

The fourth proportional to 1,119.93, 1,680.50 and 658.61 is: 988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.93 : 1,680.50 = 658.61 : x
  2. Step 2: Convert to fraction form
    1,119.93/1,680.50 = 658.61/x
  3. Step 3: Cross multiply
    1,119.93x = 1,680.50 × 658.61
  4. Step 4: Simplify right side
    1,119.93x = 1,106,794.11
  5. Step 5: Solve for x
    x = 1,106,794.11/1,119.93
  6. Step 6: Final answer
    x = 988.27

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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.