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Finding the Fourth Proportional to 725.36, 999.64 and 538.55

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Solution

The fourth proportional to 725.36, 999.64 and 538.55 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.36 : 999.64 = 538.55 : x
  2. Step 2: Convert to fraction form
    725.36/999.64 = 538.55/x
  3. Step 3: Cross multiply
    725.36x = 999.64 × 538.55
  4. Step 4: Simplify right side
    725.36x = 538,355.55
  5. Step 5: Solve for x
    x = 538,355.55/725.36
  6. Step 6: Final answer
    x = 742.20

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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.