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Finding the Fourth Proportional to 992.96, 1,370.76 and 698.48

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Solution

The fourth proportional to 992.96, 1,370.76 and 698.48 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.96 : 1,370.76 = 698.48 : x
  2. Step 2: Convert to fraction form
    992.96/1,370.76 = 698.48/x
  3. Step 3: Cross multiply
    992.96x = 1,370.76 × 698.48
  4. Step 4: Simplify right side
    992.96x = 957,448.44
  5. Step 5: Solve for x
    x = 957,448.44/992.96
  6. Step 6: Final answer
    x = 964.24

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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.