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Finding the Fourth Proportional to 781.66, 1,173.84 and 747.01

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Solution

The fourth proportional to 781.66, 1,173.84 and 747.01 is: 1,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.66 : 1,173.84 = 747.01 : x
  2. Step 2: Convert to fraction form
    781.66/1,173.84 = 747.01/x
  3. Step 3: Cross multiply
    781.66x = 1,173.84 × 747.01
  4. Step 4: Simplify right side
    781.66x = 876,870.22
  5. Step 5: Solve for x
    x = 876,870.22/781.66
  6. Step 6: Final answer
    x = 1,121.81

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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.