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Finding the Fourth Proportional to 957.20, 1,319.28 and 834.08

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Solution

The fourth proportional to 957.20, 1,319.28 and 834.08 is: 1,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.20 : 1,319.28 = 834.08 : x
  2. Step 2: Convert to fraction form
    957.20/1,319.28 = 834.08/x
  3. Step 3: Cross multiply
    957.20x = 1,319.28 × 834.08
  4. Step 4: Simplify right side
    957.20x = 1,100,385.06
  5. Step 5: Solve for x
    x = 1,100,385.06/957.20
  6. Step 6: Final answer
    x = 1,149.59

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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.