Home / 1,548.08-2,320.32-768.44

Finding the Fourth Proportional to 1,548.08, 2,320.32 and 768.44

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Solution

The fourth proportional to 1,548.08, 2,320.32 and 768.44 is: 1,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.08 : 2,320.32 = 768.44 : x
  2. Step 2: Convert to fraction form
    1,548.08/2,320.32 = 768.44/x
  3. Step 3: Cross multiply
    1,548.08x = 2,320.32 × 768.44
  4. Step 4: Simplify right side
    1,548.08x = 1,783,026.70
  5. Step 5: Solve for x
    x = 1,783,026.70/1,548.08
  6. Step 6: Final answer
    x = 1,151.77

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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.