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Finding the Fourth Proportional to 1,275.24, 1,911.33 and 658.61

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Solution

The fourth proportional to 1,275.24, 1,911.33 and 658.61 is: 987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.24 : 1,911.33 = 658.61 : x
  2. Step 2: Convert to fraction form
    1,275.24/1,911.33 = 658.61/x
  3. Step 3: Cross multiply
    1,275.24x = 1,911.33 × 658.61
  4. Step 4: Simplify right side
    1,275.24x = 1,258,817.76
  5. Step 5: Solve for x
    x = 1,258,817.76/1,275.24
  6. Step 6: Final answer
    x = 987.12

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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.