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Finding the Fourth Proportional to 692.38, 1,034.33 and 555.76

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Solution

The fourth proportional to 692.38, 1,034.33 and 555.76 is: 830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.38 : 1,034.33 = 555.76 : x
  2. Step 2: Convert to fraction form
    692.38/1,034.33 = 555.76/x
  3. Step 3: Cross multiply
    692.38x = 1,034.33 × 555.76
  4. Step 4: Simplify right side
    692.38x = 574,839.24
  5. Step 5: Solve for x
    x = 574,839.24/692.38
  6. Step 6: Final answer
    x = 830.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.