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Finding the Fourth Proportional to 524.80, 723.84 and 408.32

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Solution

The fourth proportional to 524.80, 723.84 and 408.32 is: 563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 723.84 = 408.32 : x
  2. Step 2: Convert to fraction form
    524.80/723.84 = 408.32/x
  3. Step 3: Cross multiply
    524.80x = 723.84 × 408.32
  4. Step 4: Simplify right side
    524.80x = 295,558.35
  5. Step 5: Solve for x
    x = 295,558.35/524.80
  6. Step 6: Final answer
    x = 563.18

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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.