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Finding the Fourth Proportional to 642.24, 961.86 and 316.56

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Solution

The fourth proportional to 642.24, 961.86 and 316.56 is: 474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 961.86 = 316.56 : x
  2. Step 2: Convert to fraction form
    642.24/961.86 = 316.56/x
  3. Step 3: Cross multiply
    642.24x = 961.86 × 316.56
  4. Step 4: Simplify right side
    642.24x = 304,486.40
  5. Step 5: Solve for x
    x = 304,486.40/642.24
  6. Step 6: Final answer
    x = 474.10

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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.