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Finding the Fourth Proportional to 431.67, 647.78 and 175.17

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Solution

The fourth proportional to 431.67, 647.78 and 175.17 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.67 : 647.78 = 175.17 : x
  2. Step 2: Convert to fraction form
    431.67/647.78 = 175.17/x
  3. Step 3: Cross multiply
    431.67x = 647.78 × 175.17
  4. Step 4: Simplify right side
    431.67x = 113,470.75
  5. Step 5: Solve for x
    x = 113,470.75/431.67
  6. Step 6: Final answer
    x = 262.86

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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.