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Finding the Fourth Proportional to 1,352.58, 1,865.31 and 854.37

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Solution

The fourth proportional to 1,352.58, 1,865.31 and 854.37 is: 1,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.58 : 1,865.31 = 854.37 : x
  2. Step 2: Convert to fraction form
    1,352.58/1,865.31 = 854.37/x
  3. Step 3: Cross multiply
    1,352.58x = 1,865.31 × 854.37
  4. Step 4: Simplify right side
    1,352.58x = 1,593,664.90
  5. Step 5: Solve for x
    x = 1,593,664.90/1,352.58
  6. Step 6: Final answer
    x = 1,178.24

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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.