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Finding the Fourth Proportional to 1,276.43, 1,913.28 and 659.97

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Solution

The fourth proportional to 1,276.43, 1,913.28 and 659.97 is: 989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.43 : 1,913.28 = 659.97 : x
  2. Step 2: Convert to fraction form
    1,276.43/1,913.28 = 659.97/x
  3. Step 3: Cross multiply
    1,276.43x = 1,913.28 × 659.97
  4. Step 4: Simplify right side
    1,276.43x = 1,262,707.40
  5. Step 5: Solve for x
    x = 1,262,707.40/1,276.43
  6. Step 6: Final answer
    x = 989.25

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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.