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Finding the Fourth Proportional to 853.68, 1,177.37 and 721.22

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Solution

The fourth proportional to 853.68, 1,177.37 and 721.22 is: 994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.68 : 1,177.37 = 721.22 : x
  2. Step 2: Convert to fraction form
    853.68/1,177.37 = 721.22/x
  3. Step 3: Cross multiply
    853.68x = 1,177.37 × 721.22
  4. Step 4: Simplify right side
    853.68x = 849,133.30
  5. Step 5: Solve for x
    x = 849,133.30/853.68
  6. Step 6: Final answer
    x = 994.67

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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.