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Finding the Fourth Proportional to 957.38, 1,427.75 and 834.66

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Solution

The fourth proportional to 957.38, 1,427.75 and 834.66 is: 1,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.38 : 1,427.75 = 834.66 : x
  2. Step 2: Convert to fraction form
    957.38/1,427.75 = 834.66/x
  3. Step 3: Cross multiply
    957.38x = 1,427.75 × 834.66
  4. Step 4: Simplify right side
    957.38x = 1,191,689.38
  5. Step 5: Solve for x
    x = 1,191,689.38/957.38
  6. Step 6: Final answer
    x = 1,244.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.