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Finding the Fourth Proportional to 992.46, 1,368.42 and 880.32

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Solution

The fourth proportional to 992.46, 1,368.42 and 880.32 is: 1,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,368.42 = 880.32 : x
  2. Step 2: Convert to fraction form
    992.46/1,368.42 = 880.32/x
  3. Step 3: Cross multiply
    992.46x = 1,368.42 × 880.32
  4. Step 4: Simplify right side
    992.46x = 1,204,647.49
  5. Step 5: Solve for x
    x = 1,204,647.49/992.46
  6. Step 6: Final answer
    x = 1,213.80

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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.