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Finding the Fourth Proportional to 1,276.93, 1,915.98 and 757.96

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Solution

The fourth proportional to 1,276.93, 1,915.98 and 757.96 is: 1,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.93 : 1,915.98 = 757.96 : x
  2. Step 2: Convert to fraction form
    1,276.93/1,915.98 = 757.96/x
  3. Step 3: Cross multiply
    1,276.93x = 1,915.98 × 757.96
  4. Step 4: Simplify right side
    1,276.93x = 1,452,236.20
  5. Step 5: Solve for x
    x = 1,452,236.20/1,276.93
  6. Step 6: Final answer
    x = 1,137.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.