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Finding the Fourth Proportional to 692.49, 1,039.10 and 281.93

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Solution

The fourth proportional to 692.49, 1,039.10 and 281.93 is: 423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.49 : 1,039.10 = 281.93 : x
  2. Step 2: Convert to fraction form
    692.49/1,039.10 = 281.93/x
  3. Step 3: Cross multiply
    692.49x = 1,039.10 × 281.93
  4. Step 4: Simplify right side
    692.49x = 292,953.46
  5. Step 5: Solve for x
    x = 292,953.46/692.49
  6. Step 6: Final answer
    x = 423.04

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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.