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Finding the Fourth Proportional to 968.44, 1,336.19 and 614.19

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Solution

The fourth proportional to 968.44, 1,336.19 and 614.19 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 1,336.19 = 614.19 : x
  2. Step 2: Convert to fraction form
    968.44/1,336.19 = 614.19/x
  3. Step 3: Cross multiply
    968.44x = 1,336.19 × 614.19
  4. Step 4: Simplify right side
    968.44x = 820,674.54
  5. Step 5: Solve for x
    x = 820,674.54/968.44
  6. Step 6: Final answer
    x = 847.42

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Half scale
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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.