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Finding the Fourth Proportional to 972.43, 1,342.56 and 641.41

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Solution

The fourth proportional to 972.43, 1,342.56 and 641.41 is: 885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.43 : 1,342.56 = 641.41 : x
  2. Step 2: Convert to fraction form
    972.43/1,342.56 = 641.41/x
  3. Step 3: Cross multiply
    972.43x = 1,342.56 × 641.41
  4. Step 4: Simplify right side
    972.43x = 861,131.41
  5. Step 5: Solve for x
    x = 861,131.41/972.43
  6. Step 6: Final answer
    x = 885.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.