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Finding the Fourth Proportional to 1,041.78, 1,436.31 and 864.09

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Solution

The fourth proportional to 1,041.78, 1,436.31 and 864.09 is: 1,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.78 : 1,436.31 = 864.09 : x
  2. Step 2: Convert to fraction form
    1,041.78/1,436.31 = 864.09/x
  3. Step 3: Cross multiply
    1,041.78x = 1,436.31 × 864.09
  4. Step 4: Simplify right side
    1,041.78x = 1,241,101.11
  5. Step 5: Solve for x
    x = 1,241,101.11/1,041.78
  6. Step 6: Final answer
    x = 1,191.33

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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.