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Finding the Fourth Proportional to 1,137.80, 1,567.24 and 960.56

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Solution

The fourth proportional to 1,137.80, 1,567.24 and 960.56 is: 1,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.80 : 1,567.24 = 960.56 : x
  2. Step 2: Convert to fraction form
    1,137.80/1,567.24 = 960.56/x
  3. Step 3: Cross multiply
    1,137.80x = 1,567.24 × 960.56
  4. Step 4: Simplify right side
    1,137.80x = 1,505,428.05
  5. Step 5: Solve for x
    x = 1,505,428.05/1,137.80
  6. Step 6: Final answer
    x = 1,323.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.