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Finding the Fourth Proportional to 965.83, 1,338.92 and 913.21

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Solution

The fourth proportional to 965.83, 1,338.92 and 913.21 is: 1,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.83 : 1,338.92 = 913.21 : x
  2. Step 2: Convert to fraction form
    965.83/1,338.92 = 913.21/x
  3. Step 3: Cross multiply
    965.83x = 1,338.92 × 913.21
  4. Step 4: Simplify right side
    965.83x = 1,222,715.13
  5. Step 5: Solve for x
    x = 1,222,715.13/965.83
  6. Step 6: Final answer
    x = 1,265.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.