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Finding the Fourth Proportional to 664.77, 992.67 and 543.27

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Solution

The fourth proportional to 664.77, 992.67 and 543.27 is: 811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.77 : 992.67 = 543.27 : x
  2. Step 2: Convert to fraction form
    664.77/992.67 = 543.27/x
  3. Step 3: Cross multiply
    664.77x = 992.67 × 543.27
  4. Step 4: Simplify right side
    664.77x = 539,287.83
  5. Step 5: Solve for x
    x = 539,287.83/664.77
  6. Step 6: Final answer
    x = 811.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.