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Finding the Fourth Proportional to 749.82, 1,036.18 and 540.69

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Solution

The fourth proportional to 749.82, 1,036.18 and 540.69 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,036.18 = 540.69 : x
  2. Step 2: Convert to fraction form
    749.82/1,036.18 = 540.69/x
  3. Step 3: Cross multiply
    749.82x = 1,036.18 × 540.69
  4. Step 4: Simplify right side
    749.82x = 560,252.16
  5. Step 5: Solve for x
    x = 560,252.16/749.82
  6. Step 6: Final answer
    x = 747.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.