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Finding the Fourth Proportional to 992.92, 1,372.26 and 771.64

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Solution

The fourth proportional to 992.92, 1,372.26 and 771.64 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.92 : 1,372.26 = 771.64 : x
  2. Step 2: Convert to fraction form
    992.92/1,372.26 = 771.64/x
  3. Step 3: Cross multiply
    992.92x = 1,372.26 × 771.64
  4. Step 4: Simplify right side
    992.92x = 1,058,890.71
  5. Step 5: Solve for x
    x = 1,058,890.71/992.92
  6. Step 6: Final answer
    x = 1,066.44

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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.