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Finding the Fourth Proportional to 664.80, 1,001.64 and 612.32

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Solution

The fourth proportional to 664.80, 1,001.64 and 612.32 is: 922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 1,001.64 = 612.32 : x
  2. Step 2: Convert to fraction form
    664.80/1,001.64 = 612.32/x
  3. Step 3: Cross multiply
    664.80x = 1,001.64 × 612.32
  4. Step 4: Simplify right side
    664.80x = 613,324.20
  5. Step 5: Solve for x
    x = 613,324.20/664.80
  6. Step 6: Final answer
    x = 922.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.