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Finding the Fourth Proportional to 664.91, 995.69 and 417.45

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Solution

The fourth proportional to 664.91, 995.69 and 417.45 is: 625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.91 : 995.69 = 417.45 : x
  2. Step 2: Convert to fraction form
    664.91/995.69 = 417.45/x
  3. Step 3: Cross multiply
    664.91x = 995.69 × 417.45
  4. Step 4: Simplify right side
    664.91x = 415,655.57
  5. Step 5: Solve for x
    x = 415,655.57/664.91
  6. Step 6: Final answer
    x = 625.13

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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.