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Finding the Fourth Proportional to 542.42, 811.59 and 322.24

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Solution

The fourth proportional to 542.42, 811.59 and 322.24 is: 482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 811.59 = 322.24 : x
  2. Step 2: Convert to fraction form
    542.42/811.59 = 322.24/x
  3. Step 3: Cross multiply
    542.42x = 811.59 × 322.24
  4. Step 4: Simplify right side
    542.42x = 261,524.73
  5. Step 5: Solve for x
    x = 261,524.73/542.42
  6. Step 6: Final answer
    x = 482.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.