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Finding the Fourth Proportional to 1,356.32, 1,871.60 and 767

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Solution

The fourth proportional to 1,356.32, 1,871.60 and 767 is: 1,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.32 : 1,871.60 = 767 : x
  2. Step 2: Convert to fraction form
    1,356.32/1,871.60 = 767/x
  3. Step 3: Cross multiply
    1,356.32x = 1,871.60 × 767
  4. Step 4: Simplify right side
    1,356.32x = 1,435,517.20
  5. Step 5: Solve for x
    x = 1,435,517.20/1,356.32
  6. Step 6: Final answer
    x = 1,058.39

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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.