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Finding the Fourth Proportional to 524.32, 723.48 and 325.20

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Solution

The fourth proportional to 524.32, 723.48 and 325.20 is: 448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 723.48 = 325.20 : x
  2. Step 2: Convert to fraction form
    524.32/723.48 = 325.20/x
  3. Step 3: Cross multiply
    524.32x = 723.48 × 325.20
  4. Step 4: Simplify right side
    524.32x = 235,275.70
  5. Step 5: Solve for x
    x = 235,275.70/524.32
  6. Step 6: Final answer
    x = 448.73

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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.