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Finding the Fourth Proportional to 1,225.70, 1,839.45 and 764.15

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Solution

The fourth proportional to 1,225.70, 1,839.45 and 764.15 is: 1,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.70 : 1,839.45 = 764.15 : x
  2. Step 2: Convert to fraction form
    1,225.70/1,839.45 = 764.15/x
  3. Step 3: Cross multiply
    1,225.70x = 1,839.45 × 764.15
  4. Step 4: Simplify right side
    1,225.70x = 1,405,615.72
  5. Step 5: Solve for x
    x = 1,405,615.72/1,225.70
  6. Step 6: Final answer
    x = 1,146.79

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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.