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Finding the Fourth Proportional to 990.10, 1,365.34 and 768.97

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Solution

The fourth proportional to 990.10, 1,365.34 and 768.97 is: 1,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.10 : 1,365.34 = 768.97 : x
  2. Step 2: Convert to fraction form
    990.10/1,365.34 = 768.97/x
  3. Step 3: Cross multiply
    990.10x = 1,365.34 × 768.97
  4. Step 4: Simplify right side
    990.10x = 1,049,905.50
  5. Step 5: Solve for x
    x = 1,049,905.50/990.10
  6. Step 6: Final answer
    x = 1,060.40

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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.