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Finding the Fourth Proportional to 2,330.97, 3,496.62 and 770.91

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Solution

The fourth proportional to 2,330.97, 3,496.62 and 770.91 is: 1,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.97 : 3,496.62 = 770.91 : x
  2. Step 2: Convert to fraction form
    2,330.97/3,496.62 = 770.91/x
  3. Step 3: Cross multiply
    2,330.97x = 3,496.62 × 770.91
  4. Step 4: Simplify right side
    2,330.97x = 2,695,579.32
  5. Step 5: Solve for x
    x = 2,695,579.32/2,330.97
  6. Step 6: Final answer
    x = 1,156.42

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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.