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Finding the Fourth Proportional to 1,144.94, 1,580.91 and 878.96

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Solution

The fourth proportional to 1,144.94, 1,580.91 and 878.96 is: 1,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.94 : 1,580.91 = 878.96 : x
  2. Step 2: Convert to fraction form
    1,144.94/1,580.91 = 878.96/x
  3. Step 3: Cross multiply
    1,144.94x = 1,580.91 × 878.96
  4. Step 4: Simplify right side
    1,144.94x = 1,389,552.26
  5. Step 5: Solve for x
    x = 1,389,552.26/1,144.94
  6. Step 6: Final answer
    x = 1,213.65

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1.5x scale

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.