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Finding the Fourth Proportional to 749.82, 1,034.93 and 487.38

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Solution

The fourth proportional to 749.82, 1,034.93 and 487.38 is: 672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,034.93 = 487.38 : x
  2. Step 2: Convert to fraction form
    749.82/1,034.93 = 487.38/x
  3. Step 3: Cross multiply
    749.82x = 1,034.93 × 487.38
  4. Step 4: Simplify right side
    749.82x = 504,406.54
  5. Step 5: Solve for x
    x = 504,406.54/749.82
  6. Step 6: Final answer
    x = 672.70

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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.