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Finding the Fourth Proportional to 1,352.58, 1,865.33 and 854.36

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Solution

The fourth proportional to 1,352.58, 1,865.33 and 854.36 is: 1,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.58 : 1,865.33 = 854.36 : x
  2. Step 2: Convert to fraction form
    1,352.58/1,865.33 = 854.36/x
  3. Step 3: Cross multiply
    1,352.58x = 1,865.33 × 854.36
  4. Step 4: Simplify right side
    1,352.58x = 1,593,649.74
  5. Step 5: Solve for x
    x = 1,593,649.74/1,352.58
  6. Step 6: Final answer
    x = 1,178.23

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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.