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Finding the Fourth Proportional to 664.27, 991.93 and 542.77

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Solution

The fourth proportional to 664.27, 991.93 and 542.77 is: 810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.27 : 991.93 = 542.77 : x
  2. Step 2: Convert to fraction form
    664.27/991.93 = 542.77/x
  3. Step 3: Cross multiply
    664.27x = 991.93 × 542.77
  4. Step 4: Simplify right side
    664.27x = 538,389.85
  5. Step 5: Solve for x
    x = 538,389.85/664.27
  6. Step 6: Final answer
    x = 810.50

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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.