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Finding the Fourth Proportional to 992.89, 1,370.42 and 642.97

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Solution

The fourth proportional to 992.89, 1,370.42 and 642.97 is: 887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.89 : 1,370.42 = 642.97 : x
  2. Step 2: Convert to fraction form
    992.89/1,370.42 = 642.97/x
  3. Step 3: Cross multiply
    992.89x = 1,370.42 × 642.97
  4. Step 4: Simplify right side
    992.89x = 881,138.95
  5. Step 5: Solve for x
    x = 881,138.95/992.89
  6. Step 6: Final answer
    x = 887.45

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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.