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Finding the Fourth Proportional to 642.48, 963.65 and 308.85

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Solution

The fourth proportional to 642.48, 963.65 and 308.85 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 963.65 = 308.85 : x
  2. Step 2: Convert to fraction form
    642.48/963.65 = 308.85/x
  3. Step 3: Cross multiply
    642.48x = 963.65 × 308.85
  4. Step 4: Simplify right side
    642.48x = 297,621.76
  5. Step 5: Solve for x
    x = 297,621.76/642.48
  6. Step 6: Final answer
    x = 463.24

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1.5x scale

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.