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Finding the Fourth Proportional to 918.28, 1,375.26 and 764.20

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Solution

The fourth proportional to 918.28, 1,375.26 and 764.20 is: 1,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.28 : 1,375.26 = 764.20 : x
  2. Step 2: Convert to fraction form
    918.28/1,375.26 = 764.20/x
  3. Step 3: Cross multiply
    918.28x = 1,375.26 × 764.20
  4. Step 4: Simplify right side
    918.28x = 1,050,973.69
  5. Step 5: Solve for x
    x = 1,050,973.69/918.28
  6. Step 6: Final answer
    x = 1,144.50

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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.