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Finding the Fourth Proportional to 724.40, 999.63 and 409.58

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Solution

The fourth proportional to 724.40, 999.63 and 409.58 is: 565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.40 : 999.63 = 409.58 : x
  2. Step 2: Convert to fraction form
    724.40/999.63 = 409.58/x
  3. Step 3: Cross multiply
    724.40x = 999.63 × 409.58
  4. Step 4: Simplify right side
    724.40x = 409,423.46
  5. Step 5: Solve for x
    x = 409,423.46/724.40
  6. Step 6: Final answer
    x = 565.19

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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.