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Finding the Fourth Proportional to 748.92, 1,033.58 and 417.47

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Solution

The fourth proportional to 748.92, 1,033.58 and 417.47 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.92 : 1,033.58 = 417.47 : x
  2. Step 2: Convert to fraction form
    748.92/1,033.58 = 417.47/x
  3. Step 3: Cross multiply
    748.92x = 1,033.58 × 417.47
  4. Step 4: Simplify right side
    748.92x = 431,484.52
  5. Step 5: Solve for x
    x = 431,484.52/748.92
  6. Step 6: Final answer
    x = 576.14

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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.