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Finding the Fourth Proportional to 724.42, 999.72 and 409.69

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Solution

The fourth proportional to 724.42, 999.72 and 409.69 is: 565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 999.72 = 409.69 : x
  2. Step 2: Convert to fraction form
    724.42/999.72 = 409.69/x
  3. Step 3: Cross multiply
    724.42x = 999.72 × 409.69
  4. Step 4: Simplify right side
    724.42x = 409,575.29
  5. Step 5: Solve for x
    x = 409,575.29/724.42
  6. Step 6: Final answer
    x = 565.38

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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.