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Finding the Fourth Proportional to 2,475.73, 3,712.95 and 720.73

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Solution

The fourth proportional to 2,475.73, 3,712.95 and 720.73 is: 1,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.73 : 3,712.95 = 720.73 : x
  2. Step 2: Convert to fraction form
    2,475.73/3,712.95 = 720.73/x
  3. Step 3: Cross multiply
    2,475.73x = 3,712.95 × 720.73
  4. Step 4: Simplify right side
    2,475.73x = 2,676,034.45
  5. Step 5: Solve for x
    x = 2,676,034.45/2,475.73
  6. Step 6: Final answer
    x = 1,080.91

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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.