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Finding the Fourth Proportional to 691.92, 1,031.22 and 690.84

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Solution

The fourth proportional to 691.92, 1,031.22 and 690.84 is: 1,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.92 : 1,031.22 = 690.84 : x
  2. Step 2: Convert to fraction form
    691.92/1,031.22 = 690.84/x
  3. Step 3: Cross multiply
    691.92x = 1,031.22 × 690.84
  4. Step 4: Simplify right side
    691.92x = 712,408.02
  5. Step 5: Solve for x
    x = 712,408.02/691.92
  6. Step 6: Final answer
    x = 1,029.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.