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Finding the Fourth Proportional to 2,330.81, 3,496.30 and 770.85

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Solution

The fourth proportional to 2,330.81, 3,496.30 and 770.85 is: 1,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.81 : 3,496.30 = 770.85 : x
  2. Step 2: Convert to fraction form
    2,330.81/3,496.30 = 770.85/x
  3. Step 3: Cross multiply
    2,330.81x = 3,496.30 × 770.85
  4. Step 4: Simplify right side
    2,330.81x = 2,695,120.93
  5. Step 5: Solve for x
    x = 2,695,120.93/2,330.81
  6. Step 6: Final answer
    x = 1,156.30

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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.