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Finding the Fourth Proportional to 542.31, 813.63 and 377.60

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Solution

The fourth proportional to 542.31, 813.63 and 377.60 is: 566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 813.63 = 377.60 : x
  2. Step 2: Convert to fraction form
    542.31/813.63 = 377.60/x
  3. Step 3: Cross multiply
    542.31x = 813.63 × 377.60
  4. Step 4: Simplify right side
    542.31x = 307,226.94
  5. Step 5: Solve for x
    x = 307,226.94/542.31
  6. Step 6: Final answer
    x = 566.52

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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.