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Finding the Fourth Proportional to 1,298.03, 1,790.71 and 878.22

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Solution

The fourth proportional to 1,298.03, 1,790.71 and 878.22 is: 1,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.03 : 1,790.71 = 878.22 : x
  2. Step 2: Convert to fraction form
    1,298.03/1,790.71 = 878.22/x
  3. Step 3: Cross multiply
    1,298.03x = 1,790.71 × 878.22
  4. Step 4: Simplify right side
    1,298.03x = 1,572,635.14
  5. Step 5: Solve for x
    x = 1,572,635.14/1,298.03
  6. Step 6: Final answer
    x = 1,211.56

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Why These Related Problems?

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