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Finding the Fourth Proportional to 1,275.41, 1,914.87 and 659.54

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Solution

The fourth proportional to 1,275.41, 1,914.87 and 659.54 is: 990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.41 : 1,914.87 = 659.54 : x
  2. Step 2: Convert to fraction form
    1,275.41/1,914.87 = 659.54/x
  3. Step 3: Cross multiply
    1,275.41x = 1,914.87 × 659.54
  4. Step 4: Simplify right side
    1,275.41x = 1,262,940.62
  5. Step 5: Solve for x
    x = 1,262,940.62/1,275.41
  6. Step 6: Final answer
    x = 990.22

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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.