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Finding the Fourth Proportional to 542.60, 813.90 and 380.36

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Solution

The fourth proportional to 542.60, 813.90 and 380.36 is: 570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 813.90 = 380.36 : x
  2. Step 2: Convert to fraction form
    542.60/813.90 = 380.36/x
  3. Step 3: Cross multiply
    542.60x = 813.90 × 380.36
  4. Step 4: Simplify right side
    542.60x = 309,575.00
  5. Step 5: Solve for x
    x = 309,575.00/542.60
  6. Step 6: Final answer
    x = 570.54

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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.