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Finding the Fourth Proportional to 749.17, 1,123.72 and 287.17

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Solution

The fourth proportional to 749.17, 1,123.72 and 287.17 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.17 : 1,123.72 = 287.17 : x
  2. Step 2: Convert to fraction form
    749.17/1,123.72 = 287.17/x
  3. Step 3: Cross multiply
    749.17x = 1,123.72 × 287.17
  4. Step 4: Simplify right side
    749.17x = 322,692.34
  5. Step 5: Solve for x
    x = 322,692.34/749.17
  6. Step 6: Final answer
    x = 430.73

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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.