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Finding the Fourth Proportional to 1,011.74, 1,396.37 and 965.57

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Solution

The fourth proportional to 1,011.74, 1,396.37 and 965.57 is: 1,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.74 : 1,396.37 = 965.57 : x
  2. Step 2: Convert to fraction form
    1,011.74/1,396.37 = 965.57/x
  3. Step 3: Cross multiply
    1,011.74x = 1,396.37 × 965.57
  4. Step 4: Simplify right side
    1,011.74x = 1,348,288.41
  5. Step 5: Solve for x
    x = 1,348,288.41/1,011.74
  6. Step 6: Final answer
    x = 1,332.65

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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.