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Finding the Fourth Proportional to 725.37, 999.82 and 567.74

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Solution

The fourth proportional to 725.37, 999.82 and 567.74 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.37 : 999.82 = 567.74 : x
  2. Step 2: Convert to fraction form
    725.37/999.82 = 567.74/x
  3. Step 3: Cross multiply
    725.37x = 999.82 × 567.74
  4. Step 4: Simplify right side
    725.37x = 567,641.02
  5. Step 5: Solve for x
    x = 567,641.02/725.37
  6. Step 6: Final answer
    x = 782.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.