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Finding the Fourth Proportional to 812.48, 1,121.28 and 564.80

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Solution

The fourth proportional to 812.48, 1,121.28 and 564.80 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.48 : 1,121.28 = 564.80 : x
  2. Step 2: Convert to fraction form
    812.48/1,121.28 = 564.80/x
  3. Step 3: Cross multiply
    812.48x = 1,121.28 × 564.80
  4. Step 4: Simplify right side
    812.48x = 633,298.94
  5. Step 5: Solve for x
    x = 633,298.94/812.48
  6. Step 6: Final answer
    x = 779.46

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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.