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Finding the Fourth Proportional to 992.22, 1,488.48 and 367.72

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Solution

The fourth proportional to 992.22, 1,488.48 and 367.72 is: 551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.22 : 1,488.48 = 367.72 : x
  2. Step 2: Convert to fraction form
    992.22/1,488.48 = 367.72/x
  3. Step 3: Cross multiply
    992.22x = 1,488.48 × 367.72
  4. Step 4: Simplify right side
    992.22x = 547,343.87
  5. Step 5: Solve for x
    x = 547,343.87/992.22
  6. Step 6: Final answer
    x = 551.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.