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Finding the Fourth Proportional to 524.40, 724.32 and 441.78

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Solution

The fourth proportional to 524.40, 724.32 and 441.78 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 724.32 = 441.78 : x
  2. Step 2: Convert to fraction form
    524.40/724.32 = 441.78/x
  3. Step 3: Cross multiply
    524.40x = 724.32 × 441.78
  4. Step 4: Simplify right side
    524.40x = 319,990.09
  5. Step 5: Solve for x
    x = 319,990.09/524.40
  6. Step 6: Final answer
    x = 610.20

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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.