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Finding the Fourth Proportional to 1,233.50, 1,850.66 and 770.72

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Solution

The fourth proportional to 1,233.50, 1,850.66 and 770.72 is: 1,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.50 : 1,850.66 = 770.72 : x
  2. Step 2: Convert to fraction form
    1,233.50/1,850.66 = 770.72/x
  3. Step 3: Cross multiply
    1,233.50x = 1,850.66 × 770.72
  4. Step 4: Simplify right side
    1,233.50x = 1,426,327.57
  5. Step 5: Solve for x
    x = 1,426,327.57/1,233.50
  6. Step 6: Final answer
    x = 1,156.33

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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.