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Finding the Fourth Proportional to 749.11, 1,123.21 and 359.23

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Solution

The fourth proportional to 749.11, 1,123.21 and 359.23 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.11 : 1,123.21 = 359.23 : x
  2. Step 2: Convert to fraction form
    749.11/1,123.21 = 359.23/x
  3. Step 3: Cross multiply
    749.11x = 1,123.21 × 359.23
  4. Step 4: Simplify right side
    749.11x = 403,488.93
  5. Step 5: Solve for x
    x = 403,488.93/749.11
  6. Step 6: Final answer
    x = 538.62

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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.