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Finding the Fourth Proportional to 724.15, 999.26 and 409.40

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Solution

The fourth proportional to 724.15, 999.26 and 409.40 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.15 : 999.26 = 409.40 : x
  2. Step 2: Convert to fraction form
    724.15/999.26 = 409.40/x
  3. Step 3: Cross multiply
    724.15x = 999.26 × 409.40
  4. Step 4: Simplify right side
    724.15x = 409,095.00
  5. Step 5: Solve for x
    x = 409,095.00/724.15
  6. Step 6: Final answer
    x = 564.93

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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.