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Finding the Fourth Proportional to 1,065.04, 1,597.56 and 791.62

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Solution

The fourth proportional to 1,065.04, 1,597.56 and 791.62 is: 1,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.04 : 1,597.56 = 791.62 : x
  2. Step 2: Convert to fraction form
    1,065.04/1,597.56 = 791.62/x
  3. Step 3: Cross multiply
    1,065.04x = 1,597.56 × 791.62
  4. Step 4: Simplify right side
    1,065.04x = 1,264,660.45
  5. Step 5: Solve for x
    x = 1,264,660.45/1,065.04
  6. Step 6: Final answer
    x = 1,187.43

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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.