Home / 1,580.62-2,369.57-849.34

Finding the Fourth Proportional to 1,580.62, 2,369.57 and 849.34

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Solution

The fourth proportional to 1,580.62, 2,369.57 and 849.34 is: 1,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.62 : 2,369.57 = 849.34 : x
  2. Step 2: Convert to fraction form
    1,580.62/2,369.57 = 849.34/x
  3. Step 3: Cross multiply
    1,580.62x = 2,369.57 × 849.34
  4. Step 4: Simplify right side
    1,580.62x = 2,012,572.26
  5. Step 5: Solve for x
    x = 2,012,572.26/1,580.62
  6. Step 6: Final answer
    x = 1,273.28

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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.