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Finding the Fourth Proportional to 725.24, 999.40 and 716.16

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Solution

The fourth proportional to 725.24, 999.40 and 716.16 is: 986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.24 : 999.40 = 716.16 : x
  2. Step 2: Convert to fraction form
    725.24/999.40 = 716.16/x
  3. Step 3: Cross multiply
    725.24x = 999.40 × 716.16
  4. Step 4: Simplify right side
    725.24x = 715,730.30
  5. Step 5: Solve for x
    x = 715,730.30/725.24
  6. Step 6: Final answer
    x = 986.89

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1.5x scale

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.