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Finding the Fourth Proportional to 992.40, 1,368.02 and 782.22

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Solution

The fourth proportional to 992.40, 1,368.02 and 782.22 is: 1,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.40 : 1,368.02 = 782.22 : x
  2. Step 2: Convert to fraction form
    992.40/1,368.02 = 782.22/x
  3. Step 3: Cross multiply
    992.40x = 1,368.02 × 782.22
  4. Step 4: Simplify right side
    992.40x = 1,070,092.60
  5. Step 5: Solve for x
    x = 1,070,092.60/992.40
  6. Step 6: Final answer
    x = 1,078.29

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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.