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Finding the Fourth Proportional to 524.64, 724.01 and 328.27

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Solution

The fourth proportional to 524.64, 724.01 and 328.27 is: 453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 724.01 = 328.27 : x
  2. Step 2: Convert to fraction form
    524.64/724.01 = 328.27/x
  3. Step 3: Cross multiply
    524.64x = 724.01 × 328.27
  4. Step 4: Simplify right side
    524.64x = 237,670.76
  5. Step 5: Solve for x
    x = 237,670.76/524.64
  6. Step 6: Final answer
    x = 453.02

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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.