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Finding the Fourth Proportional to 801.49, 1,204.05 and 692.14

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Solution

The fourth proportional to 801.49, 1,204.05 and 692.14 is: 1,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.49 : 1,204.05 = 692.14 : x
  2. Step 2: Convert to fraction form
    801.49/1,204.05 = 692.14/x
  3. Step 3: Cross multiply
    801.49x = 1,204.05 × 692.14
  4. Step 4: Simplify right side
    801.49x = 833,371.17
  5. Step 5: Solve for x
    x = 833,371.17/801.49
  6. Step 6: Final answer
    x = 1,039.78

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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.