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Finding the Fourth Proportional to 542.60, 813.05 and 419.50

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Solution

The fourth proportional to 542.60, 813.05 and 419.50 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 813.05 = 419.50 : x
  2. Step 2: Convert to fraction form
    542.60/813.05 = 419.50/x
  3. Step 3: Cross multiply
    542.60x = 813.05 × 419.50
  4. Step 4: Simplify right side
    542.60x = 341,072.38
  5. Step 5: Solve for x
    x = 341,072.38/542.60
  6. Step 6: Final answer
    x = 628.59

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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.