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Finding the Fourth Proportional to 990.85, 1,365.53 and 812.77

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Solution

The fourth proportional to 990.85, 1,365.53 and 812.77 is: 1,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.85 : 1,365.53 = 812.77 : x
  2. Step 2: Convert to fraction form
    990.85/1,365.53 = 812.77/x
  3. Step 3: Cross multiply
    990.85x = 1,365.53 × 812.77
  4. Step 4: Simplify right side
    990.85x = 1,109,862.03
  5. Step 5: Solve for x
    x = 1,109,862.03/990.85
  6. Step 6: Final answer
    x = 1,120.11

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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.