Home / 1,116.14-1,674.52-385.73

Finding the Fourth Proportional to 1,116.14, 1,674.52 and 385.73

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Solution

The fourth proportional to 1,116.14, 1,674.52 and 385.73 is: 578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.14 : 1,674.52 = 385.73 : x
  2. Step 2: Convert to fraction form
    1,116.14/1,674.52 = 385.73/x
  3. Step 3: Cross multiply
    1,116.14x = 1,674.52 × 385.73
  4. Step 4: Simplify right side
    1,116.14x = 645,912.60
  5. Step 5: Solve for x
    x = 645,912.60/1,116.14
  6. Step 6: Final answer
    x = 578.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.