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Finding the Fourth Proportional to 642.17, 961.64 and 316.69

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Solution

The fourth proportional to 642.17, 961.64 and 316.69 is: 474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.17 : 961.64 = 316.69 : x
  2. Step 2: Convert to fraction form
    642.17/961.64 = 316.69/x
  3. Step 3: Cross multiply
    642.17x = 961.64 × 316.69
  4. Step 4: Simplify right side
    642.17x = 304,538.97
  5. Step 5: Solve for x
    x = 304,538.97/642.17
  6. Step 6: Final answer
    x = 474.23

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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.