Home / 1,549.26-2,322.80-768.31

Finding the Fourth Proportional to 1,549.26, 2,322.80 and 768.31

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Solution

The fourth proportional to 1,549.26, 2,322.80 and 768.31 is: 1,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.26 : 2,322.80 = 768.31 : x
  2. Step 2: Convert to fraction form
    1,549.26/2,322.80 = 768.31/x
  3. Step 3: Cross multiply
    1,549.26x = 2,322.80 × 768.31
  4. Step 4: Simplify right side
    1,549.26x = 1,784,630.47
  5. Step 5: Solve for x
    x = 1,784,630.47/1,549.26
  6. Step 6: Final answer
    x = 1,151.92

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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.