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Finding the Fourth Proportional to 749.04, 1,123.17 and 286.68

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Solution

The fourth proportional to 749.04, 1,123.17 and 286.68 is: 429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.04 : 1,123.17 = 286.68 : x
  2. Step 2: Convert to fraction form
    749.04/1,123.17 = 286.68/x
  3. Step 3: Cross multiply
    749.04x = 1,123.17 × 286.68
  4. Step 4: Simplify right side
    749.04x = 321,990.38
  5. Step 5: Solve for x
    x = 321,990.38/749.04
  6. Step 6: Final answer
    x = 429.87

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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.