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Finding the Fourth Proportional to 642.01, 961.38 and 538.75

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Solution

The fourth proportional to 642.01, 961.38 and 538.75 is: 806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.01 : 961.38 = 538.75 : x
  2. Step 2: Convert to fraction form
    642.01/961.38 = 538.75/x
  3. Step 3: Cross multiply
    642.01x = 961.38 × 538.75
  4. Step 4: Simplify right side
    642.01x = 517,943.48
  5. Step 5: Solve for x
    x = 517,943.48/642.01
  6. Step 6: Final answer
    x = 806.75

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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.