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Finding the Fourth Proportional to 525.20, 724.55 and 338.63

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Solution

The fourth proportional to 525.20, 724.55 and 338.63 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 724.55 = 338.63 : x
  2. Step 2: Convert to fraction form
    525.20/724.55 = 338.63/x
  3. Step 3: Cross multiply
    525.20x = 724.55 × 338.63
  4. Step 4: Simplify right side
    525.20x = 245,349.05
  5. Step 5: Solve for x
    x = 245,349.05/525.20
  6. Step 6: Final answer
    x = 467.16

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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.