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Finding the Fourth Proportional to 524.15, 721.67 and 399.41

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Solution

The fourth proportional to 524.15, 721.67 and 399.41 is: 549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 721.67 = 399.41 : x
  2. Step 2: Convert to fraction form
    524.15/721.67 = 399.41/x
  3. Step 3: Cross multiply
    524.15x = 721.67 × 399.41
  4. Step 4: Simplify right side
    524.15x = 288,236.61
  5. Step 5: Solve for x
    x = 288,236.61/524.15
  6. Step 6: Final answer
    x = 549.92

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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.