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Finding the Fourth Proportional to 965.95, 1,441.86 and 829.87

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Solution

The fourth proportional to 965.95, 1,441.86 and 829.87 is: 1,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.95 : 1,441.86 = 829.87 : x
  2. Step 2: Convert to fraction form
    965.95/1,441.86 = 829.87/x
  3. Step 3: Cross multiply
    965.95x = 1,441.86 × 829.87
  4. Step 4: Simplify right side
    965.95x = 1,196,557.89
  5. Step 5: Solve for x
    x = 1,196,557.89/965.95
  6. Step 6: Final answer
    x = 1,238.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.