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Finding the Fourth Proportional to 749.19, 1,033.93 and 417.68

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Solution

The fourth proportional to 749.19, 1,033.93 and 417.68 is: 576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.19 : 1,033.93 = 417.68 : x
  2. Step 2: Convert to fraction form
    749.19/1,033.93 = 417.68/x
  3. Step 3: Cross multiply
    749.19x = 1,033.93 × 417.68
  4. Step 4: Simplify right side
    749.19x = 431,854.02
  5. Step 5: Solve for x
    x = 431,854.02/749.19
  6. Step 6: Final answer
    x = 576.43

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Double scale
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1.5x scale

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.