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Finding the Fourth Proportional to 725.45, 1,000.43 and 559.40

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Solution

The fourth proportional to 725.45, 1,000.43 and 559.40 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.45 : 1,000.43 = 559.40 : x
  2. Step 2: Convert to fraction form
    725.45/1,000.43 = 559.40/x
  3. Step 3: Cross multiply
    725.45x = 1,000.43 × 559.40
  4. Step 4: Simplify right side
    725.45x = 559,632.74
  5. Step 5: Solve for x
    x = 559,632.74/725.45
  6. Step 6: Final answer
    x = 771.43

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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.