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Finding the Fourth Proportional to 1,067.04, 1,599.36 and 580.32

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Solution

The fourth proportional to 1,067.04, 1,599.36 and 580.32 is: 869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.04 : 1,599.36 = 580.32 : x
  2. Step 2: Convert to fraction form
    1,067.04/1,599.36 = 580.32/x
  3. Step 3: Cross multiply
    1,067.04x = 1,599.36 × 580.32
  4. Step 4: Simplify right side
    1,067.04x = 928,140.60
  5. Step 5: Solve for x
    x = 928,140.60/1,067.04
  6. Step 6: Final answer
    x = 869.83

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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.