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Finding the Fourth Proportional to 749.40, 1,034.16 and 417.86

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Solution

The fourth proportional to 749.40, 1,034.16 and 417.86 is: 576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.40 : 1,034.16 = 417.86 : x
  2. Step 2: Convert to fraction form
    749.40/1,034.16 = 417.86/x
  3. Step 3: Cross multiply
    749.40x = 1,034.16 × 417.86
  4. Step 4: Simplify right side
    749.40x = 432,134.10
  5. Step 5: Solve for x
    x = 432,134.10/749.40
  6. Step 6: Final answer
    x = 576.64

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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.