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Finding the Fourth Proportional to 542.03, 811.82 and 325.15

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Solution

The fourth proportional to 542.03, 811.82 and 325.15 is: 486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 811.82 = 325.15 : x
  2. Step 2: Convert to fraction form
    542.03/811.82 = 325.15/x
  3. Step 3: Cross multiply
    542.03x = 811.82 × 325.15
  4. Step 4: Simplify right side
    542.03x = 263,962.06
  5. Step 5: Solve for x
    x = 263,962.06/542.03
  6. Step 6: Final answer
    x = 486.99

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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.