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Finding the Fourth Proportional to 542.23, 813.55 and 325.96

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Solution

The fourth proportional to 542.23, 813.55 and 325.96 is: 489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 813.55 = 325.96 : x
  2. Step 2: Convert to fraction form
    542.23/813.55 = 325.96/x
  3. Step 3: Cross multiply
    542.23x = 813.55 × 325.96
  4. Step 4: Simplify right side
    542.23x = 265,184.76
  5. Step 5: Solve for x
    x = 265,184.76/542.23
  6. Step 6: Final answer
    x = 489.06

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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.