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Finding the Fourth Proportional to 774.37, 1,154.67 and 764.81

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Solution

The fourth proportional to 774.37, 1,154.67 and 764.81 is: 1,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.37 : 1,154.67 = 764.81 : x
  2. Step 2: Convert to fraction form
    774.37/1,154.67 = 764.81/x
  3. Step 3: Cross multiply
    774.37x = 1,154.67 × 764.81
  4. Step 4: Simplify right side
    774.37x = 883,098.85
  5. Step 5: Solve for x
    x = 883,098.85/774.37
  6. Step 6: Final answer
    x = 1,140.41

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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.