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Finding the Fourth Proportional to 995.74, 1,376.52 and 912.71

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Solution

The fourth proportional to 995.74, 1,376.52 and 912.71 is: 1,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.74 : 1,376.52 = 912.71 : x
  2. Step 2: Convert to fraction form
    995.74/1,376.52 = 912.71/x
  3. Step 3: Cross multiply
    995.74x = 1,376.52 × 912.71
  4. Step 4: Simplify right side
    995.74x = 1,256,363.57
  5. Step 5: Solve for x
    x = 1,256,363.57/995.74
  6. Step 6: Final answer
    x = 1,261.74

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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.