Home / 1,228.52-1,696.80-966.20

Finding the Fourth Proportional to 1,228.52, 1,696.80 and 966.20

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Solution

The fourth proportional to 1,228.52, 1,696.80 and 966.20 is: 1,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.52 : 1,696.80 = 966.20 : x
  2. Step 2: Convert to fraction form
    1,228.52/1,696.80 = 966.20/x
  3. Step 3: Cross multiply
    1,228.52x = 1,696.80 × 966.20
  4. Step 4: Simplify right side
    1,228.52x = 1,639,448.16
  5. Step 5: Solve for x
    x = 1,639,448.16/1,228.52
  6. Step 6: Final answer
    x = 1,334.49

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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.