Home / 1,219.19-1,680.14-869.27

Finding the Fourth Proportional to 1,219.19, 1,680.14 and 869.27

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Solution

The fourth proportional to 1,219.19, 1,680.14 and 869.27 is: 1,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.19 : 1,680.14 = 869.27 : x
  2. Step 2: Convert to fraction form
    1,219.19/1,680.14 = 869.27/x
  3. Step 3: Cross multiply
    1,219.19x = 1,680.14 × 869.27
  4. Step 4: Simplify right side
    1,219.19x = 1,460,489.07
  5. Step 5: Solve for x
    x = 1,460,489.07/1,219.19
  6. Step 6: Final answer
    x = 1,197.92

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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.