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Finding the Fourth Proportional to 721.15, 995.12 and 402.10

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Solution

The fourth proportional to 721.15, 995.12 and 402.10 is: 554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.15 : 995.12 = 402.10 : x
  2. Step 2: Convert to fraction form
    721.15/995.12 = 402.10/x
  3. Step 3: Cross multiply
    721.15x = 995.12 × 402.10
  4. Step 4: Simplify right side
    721.15x = 400,132.78
  5. Step 5: Solve for x
    x = 400,132.78/721.15
  6. Step 6: Final answer
    x = 554.86

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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.