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Finding the Fourth Proportional to 642.21, 961.48 and 591.18

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Solution

The fourth proportional to 642.21, 961.48 and 591.18 is: 885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.21 : 961.48 = 591.18 : x
  2. Step 2: Convert to fraction form
    642.21/961.48 = 591.18/x
  3. Step 3: Cross multiply
    642.21x = 961.48 × 591.18
  4. Step 4: Simplify right side
    642.21x = 568,407.75
  5. Step 5: Solve for x
    x = 568,407.75/642.21
  6. Step 6: Final answer
    x = 885.08

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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.