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Finding the Fourth Proportional to 701.88, 1,052.82 and 484.80

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Solution

The fourth proportional to 701.88, 1,052.82 and 484.80 is: 727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.88 : 1,052.82 = 484.80 : x
  2. Step 2: Convert to fraction form
    701.88/1,052.82 = 484.80/x
  3. Step 3: Cross multiply
    701.88x = 1,052.82 × 484.80
  4. Step 4: Simplify right side
    701.88x = 510,407.14
  5. Step 5: Solve for x
    x = 510,407.14/701.88
  6. Step 6: Final answer
    x = 727.20

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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.