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Finding the Fourth Proportional to 1,287.71, 1,765.44 and 1,264.35

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Solution

The fourth proportional to 1,287.71, 1,765.44 and 1,264.35 is: 1,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.71 : 1,765.44 = 1,264.35 : x
  2. Step 2: Convert to fraction form
    1,287.71/1,765.44 = 1,264.35/x
  3. Step 3: Cross multiply
    1,287.71x = 1,765.44 × 1,264.35
  4. Step 4: Simplify right side
    1,287.71x = 2,232,134.06
  5. Step 5: Solve for x
    x = 2,232,134.06/1,287.71
  6. Step 6: Final answer
    x = 1,733.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.