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Finding the Fourth Proportional to 992.12, 1,368.52 and 781.92

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Solution

The fourth proportional to 992.12, 1,368.52 and 781.92 is: 1,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.12 : 1,368.52 = 781.92 : x
  2. Step 2: Convert to fraction form
    992.12/1,368.52 = 781.92/x
  3. Step 3: Cross multiply
    992.12x = 1,368.52 × 781.92
  4. Step 4: Simplify right side
    992.12x = 1,070,071.20
  5. Step 5: Solve for x
    x = 1,070,071.20/992.12
  6. Step 6: Final answer
    x = 1,078.58

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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.