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Finding the Fourth Proportional to 725.84, 1,000.70 and 477.07

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Solution

The fourth proportional to 725.84, 1,000.70 and 477.07 is: 657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.84 : 1,000.70 = 477.07 : x
  2. Step 2: Convert to fraction form
    725.84/1,000.70 = 477.07/x
  3. Step 3: Cross multiply
    725.84x = 1,000.70 × 477.07
  4. Step 4: Simplify right side
    725.84x = 477,400.85
  5. Step 5: Solve for x
    x = 477,400.85/725.84
  6. Step 6: Final answer
    x = 657.72

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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.