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Finding the Fourth Proportional to 691.03, 1,034.15 and 651.05

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Solution

The fourth proportional to 691.03, 1,034.15 and 651.05 is: 974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.03 : 1,034.15 = 651.05 : x
  2. Step 2: Convert to fraction form
    691.03/1,034.15 = 651.05/x
  3. Step 3: Cross multiply
    691.03x = 1,034.15 × 651.05
  4. Step 4: Simplify right side
    691.03x = 673,286.67
  5. Step 5: Solve for x
    x = 673,286.67/691.03
  6. Step 6: Final answer
    x = 974.32

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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.