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Finding the Fourth Proportional to 1,471.45, 2,207.31 and 431.46

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Solution

The fourth proportional to 1,471.45, 2,207.31 and 431.46 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.45 : 2,207.31 = 431.46 : x
  2. Step 2: Convert to fraction form
    1,471.45/2,207.31 = 431.46/x
  3. Step 3: Cross multiply
    1,471.45x = 2,207.31 × 431.46
  4. Step 4: Simplify right side
    1,471.45x = 952,365.97
  5. Step 5: Solve for x
    x = 952,365.97/1,471.45
  6. Step 6: Final answer
    x = 647.23

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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.