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Finding the Fourth Proportional to 1,298.25, 1,790.87 and 849.50

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Solution

The fourth proportional to 1,298.25, 1,790.87 and 849.50 is: 1,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.25 : 1,790.87 = 849.50 : x
  2. Step 2: Convert to fraction form
    1,298.25/1,790.87 = 849.50/x
  3. Step 3: Cross multiply
    1,298.25x = 1,790.87 × 849.50
  4. Step 4: Simplify right side
    1,298.25x = 1,521,330.86
  5. Step 5: Solve for x
    x = 1,521,330.86/1,298.25
  6. Step 6: Final answer
    x = 1,171.83

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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.