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Finding the Fourth Proportional to 1,049.08, 1,447.71 and 594.83

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Solution

The fourth proportional to 1,049.08, 1,447.71 and 594.83 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.08 : 1,447.71 = 594.83 : x
  2. Step 2: Convert to fraction form
    1,049.08/1,447.71 = 594.83/x
  3. Step 3: Cross multiply
    1,049.08x = 1,447.71 × 594.83
  4. Step 4: Simplify right side
    1,049.08x = 861,139.60
  5. Step 5: Solve for x
    x = 861,139.60/1,049.08
  6. Step 6: Final answer
    x = 820.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.