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Finding the Fourth Proportional to 1,144.77, 1,578.87 and 771.51

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Solution

The fourth proportional to 1,144.77, 1,578.87 and 771.51 is: 1,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.77 : 1,578.87 = 771.51 : x
  2. Step 2: Convert to fraction form
    1,144.77/1,578.87 = 771.51/x
  3. Step 3: Cross multiply
    1,144.77x = 1,578.87 × 771.51
  4. Step 4: Simplify right side
    1,144.77x = 1,218,113.99
  5. Step 5: Solve for x
    x = 1,218,113.99/1,144.77
  6. Step 6: Final answer
    x = 1,064.07

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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.