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Finding the Fourth Proportional to 691.04, 1,031.46 and 633.32

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Solution

The fourth proportional to 691.04, 1,031.46 and 633.32 is: 945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.04 : 1,031.46 = 633.32 : x
  2. Step 2: Convert to fraction form
    691.04/1,031.46 = 633.32/x
  3. Step 3: Cross multiply
    691.04x = 1,031.46 × 633.32
  4. Step 4: Simplify right side
    691.04x = 653,249.20
  5. Step 5: Solve for x
    x = 653,249.20/691.04
  6. Step 6: Final answer
    x = 945.32

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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.