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Finding the Fourth Proportional to 431.69, 647.85 and 316.43

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Solution

The fourth proportional to 431.69, 647.85 and 316.43 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.69 : 647.85 = 316.43 : x
  2. Step 2: Convert to fraction form
    431.69/647.85 = 316.43/x
  3. Step 3: Cross multiply
    431.69x = 647.85 × 316.43
  4. Step 4: Simplify right side
    431.69x = 204,995.94
  5. Step 5: Solve for x
    x = 204,995.94/431.69
  6. Step 6: Final answer
    x = 474.87

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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.