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Finding the Fourth Proportional to 721.40, 995.48 and 410.90

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Solution

The fourth proportional to 721.40, 995.48 and 410.90 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.40 : 995.48 = 410.90 : x
  2. Step 2: Convert to fraction form
    721.40/995.48 = 410.90/x
  3. Step 3: Cross multiply
    721.40x = 995.48 × 410.90
  4. Step 4: Simplify right side
    721.40x = 409,042.73
  5. Step 5: Solve for x
    x = 409,042.73/721.40
  6. Step 6: Final answer
    x = 567.01

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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.