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Finding the Fourth Proportional to 664.95, 995.07 and 491.22

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Solution

The fourth proportional to 664.95, 995.07 and 491.22 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.95 : 995.07 = 491.22 : x
  2. Step 2: Convert to fraction form
    664.95/995.07 = 491.22/x
  3. Step 3: Cross multiply
    664.95x = 995.07 × 491.22
  4. Step 4: Simplify right side
    664.95x = 488,798.29
  5. Step 5: Solve for x
    x = 488,798.29/664.95
  6. Step 6: Final answer
    x = 735.09

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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.