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Finding the Fourth Proportional to 753.77, 1,132.48 and 480.40

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Solution

The fourth proportional to 753.77, 1,132.48 and 480.40 is: 721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.77 : 1,132.48 = 480.40 : x
  2. Step 2: Convert to fraction form
    753.77/1,132.48 = 480.40/x
  3. Step 3: Cross multiply
    753.77x = 1,132.48 × 480.40
  4. Step 4: Simplify right side
    753.77x = 544,041.16
  5. Step 5: Solve for x
    x = 544,041.16/753.77
  6. Step 6: Final answer
    x = 721.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.