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Finding the Fourth Proportional to 1,276.18, 1,912.65 and 728.67

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Solution

The fourth proportional to 1,276.18, 1,912.65 and 728.67 is: 1,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.18 : 1,912.65 = 728.67 : x
  2. Step 2: Convert to fraction form
    1,276.18/1,912.65 = 728.67/x
  3. Step 3: Cross multiply
    1,276.18x = 1,912.65 × 728.67
  4. Step 4: Simplify right side
    1,276.18x = 1,393,690.68
  5. Step 5: Solve for x
    x = 1,393,690.68/1,276.18
  6. Step 6: Final answer
    x = 1,092.08

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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.