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Finding the Fourth Proportional to 749.56, 1,034.38 and 417.98

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Solution

The fourth proportional to 749.56, 1,034.38 and 417.98 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.56 : 1,034.38 = 417.98 : x
  2. Step 2: Convert to fraction form
    749.56/1,034.38 = 417.98/x
  3. Step 3: Cross multiply
    749.56x = 1,034.38 × 417.98
  4. Step 4: Simplify right side
    749.56x = 432,350.15
  5. Step 5: Solve for x
    x = 432,350.15/749.56
  6. Step 6: Final answer
    x = 576.81

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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.