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Finding the Fourth Proportional to 781.30, 1,164.44 and 774.86

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Solution

The fourth proportional to 781.30, 1,164.44 and 774.86 is: 1,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.30 : 1,164.44 = 774.86 : x
  2. Step 2: Convert to fraction form
    781.30/1,164.44 = 774.86/x
  3. Step 3: Cross multiply
    781.30x = 1,164.44 × 774.86
  4. Step 4: Simplify right side
    781.30x = 902,277.98
  5. Step 5: Solve for x
    x = 902,277.98/781.30
  6. Step 6: Final answer
    x = 1,154.84

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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.