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Finding the Fourth Proportional to 2,474.88, 3,712.08 and 720.34

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Solution

The fourth proportional to 2,474.88, 3,712.08 and 720.34 is: 1,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.88 : 3,712.08 = 720.34 : x
  2. Step 2: Convert to fraction form
    2,474.88/3,712.08 = 720.34/x
  3. Step 3: Cross multiply
    2,474.88x = 3,712.08 × 720.34
  4. Step 4: Simplify right side
    2,474.88x = 2,673,959.71
  5. Step 5: Solve for x
    x = 2,673,959.71/2,474.88
  6. Step 6: Final answer
    x = 1,080.44

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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.