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Finding the Fourth Proportional to 1,311.95, 1,963.67 and 965.21

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Solution

The fourth proportional to 1,311.95, 1,963.67 and 965.21 is: 1,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.95 : 1,963.67 = 965.21 : x
  2. Step 2: Convert to fraction form
    1,311.95/1,963.67 = 965.21/x
  3. Step 3: Cross multiply
    1,311.95x = 1,963.67 × 965.21
  4. Step 4: Simplify right side
    1,311.95x = 1,895,339.28
  5. Step 5: Solve for x
    x = 1,895,339.28/1,311.95
  6. Step 6: Final answer
    x = 1,444.68

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1.5x scale

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.