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Finding the Fourth Proportional to 664.51, 995.93 and 421.10

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Solution

The fourth proportional to 664.51, 995.93 and 421.10 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.51 : 995.93 = 421.10 : x
  2. Step 2: Convert to fraction form
    664.51/995.93 = 421.10/x
  3. Step 3: Cross multiply
    664.51x = 995.93 × 421.10
  4. Step 4: Simplify right side
    664.51x = 419,384.02
  5. Step 5: Solve for x
    x = 419,384.02/664.51
  6. Step 6: Final answer
    x = 631.12

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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.