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Finding the Fourth Proportional to 721.63, 995.89 and 411.13

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Solution

The fourth proportional to 721.63, 995.89 and 411.13 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.63 : 995.89 = 411.13 : x
  2. Step 2: Convert to fraction form
    721.63/995.89 = 411.13/x
  3. Step 3: Cross multiply
    721.63x = 995.89 × 411.13
  4. Step 4: Simplify right side
    721.63x = 409,440.26
  5. Step 5: Solve for x
    x = 409,440.26/721.63
  6. Step 6: Final answer
    x = 567.38

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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.