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Finding the Fourth Proportional to 522.56, 721.16 and 326.13

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Solution

The fourth proportional to 522.56, 721.16 and 326.13 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 721.16 = 326.13 : x
  2. Step 2: Convert to fraction form
    522.56/721.16 = 326.13/x
  3. Step 3: Cross multiply
    522.56x = 721.16 × 326.13
  4. Step 4: Simplify right side
    522.56x = 235,191.91
  5. Step 5: Solve for x
    x = 235,191.91/522.56
  6. Step 6: Final answer
    x = 450.08

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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.