Home / 1,665.28-2,297.80-966.52

Finding the Fourth Proportional to 1,665.28, 2,297.80 and 966.52

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Solution

The fourth proportional to 1,665.28, 2,297.80 and 966.52 is: 1,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.28 : 2,297.80 = 966.52 : x
  2. Step 2: Convert to fraction form
    1,665.28/2,297.80 = 966.52/x
  3. Step 3: Cross multiply
    1,665.28x = 2,297.80 × 966.52
  4. Step 4: Simplify right side
    1,665.28x = 2,220,869.66
  5. Step 5: Solve for x
    x = 2,220,869.66/1,665.28
  6. Step 6: Final answer
    x = 1,333.63

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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.