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Finding the Fourth Proportional to 800.76, 1,192.93 and 771.37

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Solution

The fourth proportional to 800.76, 1,192.93 and 771.37 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.76 : 1,192.93 = 771.37 : x
  2. Step 2: Convert to fraction form
    800.76/1,192.93 = 771.37/x
  3. Step 3: Cross multiply
    800.76x = 1,192.93 × 771.37
  4. Step 4: Simplify right side
    800.76x = 920,192.21
  5. Step 5: Solve for x
    x = 920,192.21/800.76
  6. Step 6: Final answer
    x = 1,149.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.