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Finding the Fourth Proportional to 725.83, 1,089.89 and 453.64

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Solution

The fourth proportional to 725.83, 1,089.89 and 453.64 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.83 : 1,089.89 = 453.64 : x
  2. Step 2: Convert to fraction form
    725.83/1,089.89 = 453.64/x
  3. Step 3: Cross multiply
    725.83x = 1,089.89 × 453.64
  4. Step 4: Simplify right side
    725.83x = 494,417.70
  5. Step 5: Solve for x
    x = 494,417.70/725.83
  6. Step 6: Final answer
    x = 681.18

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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.