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Finding the Fourth Proportional to 972.68, 1,342.92 and 641.66

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Solution

The fourth proportional to 972.68, 1,342.92 and 641.66 is: 885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.68 : 1,342.92 = 641.66 : x
  2. Step 2: Convert to fraction form
    972.68/1,342.92 = 641.66/x
  3. Step 3: Cross multiply
    972.68x = 1,342.92 × 641.66
  4. Step 4: Simplify right side
    972.68x = 861,698.05
  5. Step 5: Solve for x
    x = 861,698.05/972.68
  6. Step 6: Final answer
    x = 885.90

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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.