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Finding the Fourth Proportional to 524.58, 724.49 and 407.96

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Solution

The fourth proportional to 524.58, 724.49 and 407.96 is: 563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.58 : 724.49 = 407.96 : x
  2. Step 2: Convert to fraction form
    524.58/724.49 = 407.96/x
  3. Step 3: Cross multiply
    524.58x = 724.49 × 407.96
  4. Step 4: Simplify right side
    524.58x = 295,562.94
  5. Step 5: Solve for x
    x = 295,562.94/524.58
  6. Step 6: Final answer
    x = 563.43

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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.