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Finding the Fourth Proportional to 1,043.20, 1,563.72 and 799.12

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Solution

The fourth proportional to 1,043.20, 1,563.72 and 799.12 is: 1,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.20 : 1,563.72 = 799.12 : x
  2. Step 2: Convert to fraction form
    1,043.20/1,563.72 = 799.12/x
  3. Step 3: Cross multiply
    1,043.20x = 1,563.72 × 799.12
  4. Step 4: Simplify right side
    1,043.20x = 1,249,599.93
  5. Step 5: Solve for x
    x = 1,249,599.93/1,043.20
  6. Step 6: Final answer
    x = 1,197.85

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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.