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Finding the Fourth Proportional to 725.60, 999.33 and 712.10

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Solution

The fourth proportional to 725.60, 999.33 and 712.10 is: 980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.60 : 999.33 = 712.10 : x
  2. Step 2: Convert to fraction form
    725.60/999.33 = 712.10/x
  3. Step 3: Cross multiply
    725.60x = 999.33 × 712.10
  4. Step 4: Simplify right side
    725.60x = 711,622.89
  5. Step 5: Solve for x
    x = 711,622.89/725.60
  6. Step 6: Final answer
    x = 980.74

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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.