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Finding the Fourth Proportional to 1,202.32, 1,801.45 and 854.97

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Solution

The fourth proportional to 1,202.32, 1,801.45 and 854.97 is: 1,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.32 : 1,801.45 = 854.97 : x
  2. Step 2: Convert to fraction form
    1,202.32/1,801.45 = 854.97/x
  3. Step 3: Cross multiply
    1,202.32x = 1,801.45 × 854.97
  4. Step 4: Simplify right side
    1,202.32x = 1,540,185.71
  5. Step 5: Solve for x
    x = 1,540,185.71/1,202.32
  6. Step 6: Final answer
    x = 1,281.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.