Home / 1,217.36-1,678.20-867.44

Finding the Fourth Proportional to 1,217.36, 1,678.20 and 867.44

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Solution

The fourth proportional to 1,217.36, 1,678.20 and 867.44 is: 1,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.36 : 1,678.20 = 867.44 : x
  2. Step 2: Convert to fraction form
    1,217.36/1,678.20 = 867.44/x
  3. Step 3: Cross multiply
    1,217.36x = 1,678.20 × 867.44
  4. Step 4: Simplify right side
    1,217.36x = 1,455,737.81
  5. Step 5: Solve for x
    x = 1,455,737.81/1,217.36
  6. Step 6: Final answer
    x = 1,195.82

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1.5x scale

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.