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Finding the Fourth Proportional to 749.11, 1,033.76 and 417.53

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Solution

The fourth proportional to 749.11, 1,033.76 and 417.53 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.11 : 1,033.76 = 417.53 : x
  2. Step 2: Convert to fraction form
    749.11/1,033.76 = 417.53/x
  3. Step 3: Cross multiply
    749.11x = 1,033.76 × 417.53
  4. Step 4: Simplify right side
    749.11x = 431,625.81
  5. Step 5: Solve for x
    x = 431,625.81/749.11
  6. Step 6: Final answer
    x = 576.18

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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.