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Finding the Fourth Proportional to 692.49, 1,039.25 and 557.17

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Solution

The fourth proportional to 692.49, 1,039.25 and 557.17 is: 836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.49 : 1,039.25 = 557.17 : x
  2. Step 2: Convert to fraction form
    692.49/1,039.25 = 557.17/x
  3. Step 3: Cross multiply
    692.49x = 1,039.25 × 557.17
  4. Step 4: Simplify right side
    692.49x = 579,042.64
  5. Step 5: Solve for x
    x = 579,042.64/692.49
  6. Step 6: Final answer
    x = 836.17

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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.