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Finding the Fourth Proportional to 1,129.56, 1,557.25 and 965.53

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Solution

The fourth proportional to 1,129.56, 1,557.25 and 965.53 is: 1,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.56 : 1,557.25 = 965.53 : x
  2. Step 2: Convert to fraction form
    1,129.56/1,557.25 = 965.53/x
  3. Step 3: Cross multiply
    1,129.56x = 1,557.25 × 965.53
  4. Step 4: Simplify right side
    1,129.56x = 1,503,571.59
  5. Step 5: Solve for x
    x = 1,503,571.59/1,129.56
  6. Step 6: Final answer
    x = 1,331.11

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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.