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Finding the Fourth Proportional to 724.19, 999.42 and 476.20

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Solution

The fourth proportional to 724.19, 999.42 and 476.20 is: 657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.19 : 999.42 = 476.20 : x
  2. Step 2: Convert to fraction form
    724.19/999.42 = 476.20/x
  3. Step 3: Cross multiply
    724.19x = 999.42 × 476.20
  4. Step 4: Simplify right side
    724.19x = 475,923.80
  5. Step 5: Solve for x
    x = 475,923.80/724.19
  6. Step 6: Final answer
    x = 657.18

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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.