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Finding the Fourth Proportional to 1,276.97, 1,762.97 and 1,203.15

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Solution

The fourth proportional to 1,276.97, 1,762.97 and 1,203.15 is: 1,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.97 : 1,762.97 = 1,203.15 : x
  2. Step 2: Convert to fraction form
    1,276.97/1,762.97 = 1,203.15/x
  3. Step 3: Cross multiply
    1,276.97x = 1,762.97 × 1,203.15
  4. Step 4: Simplify right side
    1,276.97x = 2,121,117.95
  5. Step 5: Solve for x
    x = 2,121,117.95/1,276.97
  6. Step 6: Final answer
    x = 1,661.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.