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Finding the Fourth Proportional to 692.55, 1,039.46 and 281.97

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Solution

The fourth proportional to 692.55, 1,039.46 and 281.97 is: 423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.55 : 1,039.46 = 281.97 : x
  2. Step 2: Convert to fraction form
    692.55/1,039.46 = 281.97/x
  3. Step 3: Cross multiply
    692.55x = 1,039.46 × 281.97
  4. Step 4: Simplify right side
    692.55x = 293,095.13
  5. Step 5: Solve for x
    x = 293,095.13/692.55
  6. Step 6: Final answer
    x = 423.21

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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.