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Finding the Fourth Proportional to 642.85, 963.99 and 296.10

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Solution

The fourth proportional to 642.85, 963.99 and 296.10 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.85 : 963.99 = 296.10 : x
  2. Step 2: Convert to fraction form
    642.85/963.99 = 296.10/x
  3. Step 3: Cross multiply
    642.85x = 963.99 × 296.10
  4. Step 4: Simplify right side
    642.85x = 285,437.44
  5. Step 5: Solve for x
    x = 285,437.44/642.85
  6. Step 6: Final answer
    x = 444.02

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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.