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Finding the Fourth Proportional to 992.22, 1,486.71 and 581.69

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Solution

The fourth proportional to 992.22, 1,486.71 and 581.69 is: 871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.22 : 1,486.71 = 581.69 : x
  2. Step 2: Convert to fraction form
    992.22/1,486.71 = 581.69/x
  3. Step 3: Cross multiply
    992.22x = 1,486.71 × 581.69
  4. Step 4: Simplify right side
    992.22x = 864,804.34
  5. Step 5: Solve for x
    x = 864,804.34/992.22
  6. Step 6: Final answer
    x = 871.59

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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.