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Finding the Fourth Proportional to 692.10, 1,031.54 and 672.30

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Solution

The fourth proportional to 692.10, 1,031.54 and 672.30 is: 1,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,031.54 = 672.30 : x
  2. Step 2: Convert to fraction form
    692.10/1,031.54 = 672.30/x
  3. Step 3: Cross multiply
    692.10x = 1,031.54 × 672.30
  4. Step 4: Simplify right side
    692.10x = 693,500.98
  5. Step 5: Solve for x
    x = 693,500.98/692.10
  6. Step 6: Final answer
    x = 1,002.02

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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.