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Finding the Fourth Proportional to 992.96, 1,368.60 and 782.60

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Solution

The fourth proportional to 992.96, 1,368.60 and 782.60 is: 1,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.96 : 1,368.60 = 782.60 : x
  2. Step 2: Convert to fraction form
    992.96/1,368.60 = 782.60/x
  3. Step 3: Cross multiply
    992.96x = 1,368.60 × 782.60
  4. Step 4: Simplify right side
    992.96x = 1,071,066.36
  5. Step 5: Solve for x
    x = 1,071,066.36/992.96
  6. Step 6: Final answer
    x = 1,078.66

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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.