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Finding the Fourth Proportional to 810.69, 1,126.30 and 800.97

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Solution

The fourth proportional to 810.69, 1,126.30 and 800.97 is: 1,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.69 : 1,126.30 = 800.97 : x
  2. Step 2: Convert to fraction form
    810.69/1,126.30 = 800.97/x
  3. Step 3: Cross multiply
    810.69x = 1,126.30 × 800.97
  4. Step 4: Simplify right side
    810.69x = 902,132.51
  5. Step 5: Solve for x
    x = 902,132.51/810.69
  6. Step 6: Final answer
    x = 1,112.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.