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Finding the Fourth Proportional to 524.45, 724.20 and 328.30

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Solution

The fourth proportional to 524.45, 724.20 and 328.30 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.45 : 724.20 = 328.30 : x
  2. Step 2: Convert to fraction form
    524.45/724.20 = 328.30/x
  3. Step 3: Cross multiply
    524.45x = 724.20 × 328.30
  4. Step 4: Simplify right side
    524.45x = 237,754.86
  5. Step 5: Solve for x
    x = 237,754.86/524.45
  6. Step 6: Final answer
    x = 453.34

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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.