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Finding the Fourth Proportional to 1,276.88, 1,913.53 and 690.62

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Solution

The fourth proportional to 1,276.88, 1,913.53 and 690.62 is: 1,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.88 : 1,913.53 = 690.62 : x
  2. Step 2: Convert to fraction form
    1,276.88/1,913.53 = 690.62/x
  3. Step 3: Cross multiply
    1,276.88x = 1,913.53 × 690.62
  4. Step 4: Simplify right side
    1,276.88x = 1,321,522.09
  5. Step 5: Solve for x
    x = 1,321,522.09/1,276.88
  6. Step 6: Final answer
    x = 1,034.96

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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.