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Finding the Fourth Proportional to 732.68, 1,010.80 and 480.54

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Solution

The fourth proportional to 732.68, 1,010.80 and 480.54 is: 662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.68 : 1,010.80 = 480.54 : x
  2. Step 2: Convert to fraction form
    732.68/1,010.80 = 480.54/x
  3. Step 3: Cross multiply
    732.68x = 1,010.80 × 480.54
  4. Step 4: Simplify right side
    732.68x = 485,729.83
  5. Step 5: Solve for x
    x = 485,729.83/732.68
  6. Step 6: Final answer
    x = 662.95

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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.