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Finding the Fourth Proportional to 991.22, 1,367.72 and 593.02

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Solution

The fourth proportional to 991.22, 1,367.72 and 593.02 is: 818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.22 : 1,367.72 = 593.02 : x
  2. Step 2: Convert to fraction form
    991.22/1,367.72 = 593.02/x
  3. Step 3: Cross multiply
    991.22x = 1,367.72 × 593.02
  4. Step 4: Simplify right side
    991.22x = 811,085.31
  5. Step 5: Solve for x
    x = 811,085.31/991.22
  6. Step 6: Final answer
    x = 818.27

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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.