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Finding the Fourth Proportional to 748.76, 1,033.80 and 469.42

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Solution

The fourth proportional to 748.76, 1,033.80 and 469.42 is: 648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.76 : 1,033.80 = 469.42 : x
  2. Step 2: Convert to fraction form
    748.76/1,033.80 = 469.42/x
  3. Step 3: Cross multiply
    748.76x = 1,033.80 × 469.42
  4. Step 4: Simplify right side
    748.76x = 485,286.40
  5. Step 5: Solve for x
    x = 485,286.40/748.76
  6. Step 6: Final answer
    x = 648.12

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Find fourth proportional to 374.38, 516.90 and 234.71
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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.