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Finding the Fourth Proportional to 542.44, 815.46 and 420.76

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Solution

The fourth proportional to 542.44, 815.46 and 420.76 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 815.46 = 420.76 : x
  2. Step 2: Convert to fraction form
    542.44/815.46 = 420.76/x
  3. Step 3: Cross multiply
    542.44x = 815.46 × 420.76
  4. Step 4: Simplify right side
    542.44x = 343,112.95
  5. Step 5: Solve for x
    x = 343,112.95/542.44
  6. Step 6: Final answer
    x = 632.54

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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.