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Finding the Fourth Proportional to 691.15, 1,034.40 and 681.92

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Solution

The fourth proportional to 691.15, 1,034.40 and 681.92 is: 1,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.15 : 1,034.40 = 681.92 : x
  2. Step 2: Convert to fraction form
    691.15/1,034.40 = 681.92/x
  3. Step 3: Cross multiply
    691.15x = 1,034.40 × 681.92
  4. Step 4: Simplify right side
    691.15x = 705,378.05
  5. Step 5: Solve for x
    x = 705,378.05/691.15
  6. Step 6: Final answer
    x = 1,020.59

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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.