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Finding the Fourth Proportional to 724.25, 999.52 and 409.57

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Solution

The fourth proportional to 724.25, 999.52 and 409.57 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.25 : 999.52 = 409.57 : x
  2. Step 2: Convert to fraction form
    724.25/999.52 = 409.57/x
  3. Step 3: Cross multiply
    724.25x = 999.52 × 409.57
  4. Step 4: Simplify right side
    724.25x = 409,369.88
  5. Step 5: Solve for x
    x = 409,369.88/724.25
  6. Step 6: Final answer
    x = 565.23

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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.