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Finding the Fourth Proportional to 642.20, 961.12 and 395.56

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Solution

The fourth proportional to 642.20, 961.12 and 395.56 is: 592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.20 : 961.12 = 395.56 : x
  2. Step 2: Convert to fraction form
    642.20/961.12 = 395.56/x
  3. Step 3: Cross multiply
    642.20x = 961.12 × 395.56
  4. Step 4: Simplify right side
    642.20x = 380,177.39
  5. Step 5: Solve for x
    x = 380,177.39/642.20
  6. Step 6: Final answer
    x = 592.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.