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Finding the Fourth Proportional to 798.77, 1,190.13 and 754.01

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Solution

The fourth proportional to 798.77, 1,190.13 and 754.01 is: 1,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.77 : 1,190.13 = 754.01 : x
  2. Step 2: Convert to fraction form
    798.77/1,190.13 = 754.01/x
  3. Step 3: Cross multiply
    798.77x = 1,190.13 × 754.01
  4. Step 4: Simplify right side
    798.77x = 897,369.92
  5. Step 5: Solve for x
    x = 897,369.92/798.77
  6. Step 6: Final answer
    x = 1,123.44

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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.