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Finding the Fourth Proportional to 1,818.07, 2,725.43 and 723.20

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Solution

The fourth proportional to 1,818.07, 2,725.43 and 723.20 is: 1,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.07 : 2,725.43 = 723.20 : x
  2. Step 2: Convert to fraction form
    1,818.07/2,725.43 = 723.20/x
  3. Step 3: Cross multiply
    1,818.07x = 2,725.43 × 723.20
  4. Step 4: Simplify right side
    1,818.07x = 1,971,013.73
  5. Step 5: Solve for x
    x = 1,971,013.73/1,818.07
  6. Step 6: Final answer
    x = 1,084.13

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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.