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Finding the Fourth Proportional to 992.21, 1,368.10 and 805.12

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Solution

The fourth proportional to 992.21, 1,368.10 and 805.12 is: 1,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.21 : 1,368.10 = 805.12 : x
  2. Step 2: Convert to fraction form
    992.21/1,368.10 = 805.12/x
  3. Step 3: Cross multiply
    992.21x = 1,368.10 × 805.12
  4. Step 4: Simplify right side
    992.21x = 1,101,479.24
  5. Step 5: Solve for x
    x = 1,101,479.24/992.21
  6. Step 6: Final answer
    x = 1,110.12

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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.