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Finding the Fourth Proportional to 665.43, 995.72 and 404.48

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Solution

The fourth proportional to 665.43, 995.72 and 404.48 is: 605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.43 : 995.72 = 404.48 : x
  2. Step 2: Convert to fraction form
    665.43/995.72 = 404.48/x
  3. Step 3: Cross multiply
    665.43x = 995.72 × 404.48
  4. Step 4: Simplify right side
    665.43x = 402,741.82
  5. Step 5: Solve for x
    x = 402,741.82/665.43
  6. Step 6: Final answer
    x = 605.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.