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Finding the Fourth Proportional to 692.72, 1,038.38 and 449.40

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Solution

The fourth proportional to 692.72, 1,038.38 and 449.40 is: 673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 1,038.38 = 449.40 : x
  2. Step 2: Convert to fraction form
    692.72/1,038.38 = 449.40/x
  3. Step 3: Cross multiply
    692.72x = 1,038.38 × 449.40
  4. Step 4: Simplify right side
    692.72x = 466,647.97
  5. Step 5: Solve for x
    x = 466,647.97/692.72
  6. Step 6: Final answer
    x = 673.65

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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.