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Finding the Fourth Proportional to 969.86, 1,338.72 and 721.10

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Solution

The fourth proportional to 969.86, 1,338.72 and 721.10 is: 995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.86 : 1,338.72 = 721.10 : x
  2. Step 2: Convert to fraction form
    969.86/1,338.72 = 721.10/x
  3. Step 3: Cross multiply
    969.86x = 1,338.72 × 721.10
  4. Step 4: Simplify right side
    969.86x = 965,350.99
  5. Step 5: Solve for x
    x = 965,350.99/969.86
  6. Step 6: Final answer
    x = 995.35

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Double scale
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1.5x scale

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.