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Finding the Fourth Proportional to 991.91, 1,369.29 and 593.75

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Solution

The fourth proportional to 991.91, 1,369.29 and 593.75 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.91 : 1,369.29 = 593.75 : x
  2. Step 2: Convert to fraction form
    991.91/1,369.29 = 593.75/x
  3. Step 3: Cross multiply
    991.91x = 1,369.29 × 593.75
  4. Step 4: Simplify right side
    991.91x = 813,009.09
  5. Step 5: Solve for x
    x = 813,009.09/991.91
  6. Step 6: Final answer
    x = 819.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.