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Finding the Fourth Proportional to 812.16, 1,216.80 and 564.84

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Solution

The fourth proportional to 812.16, 1,216.80 and 564.84 is: 846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,216.80 = 564.84 : x
  2. Step 2: Convert to fraction form
    812.16/1,216.80 = 564.84/x
  3. Step 3: Cross multiply
    812.16x = 1,216.80 × 564.84
  4. Step 4: Simplify right side
    812.16x = 687,297.31
  5. Step 5: Solve for x
    x = 687,297.31/812.16
  6. Step 6: Final answer
    x = 846.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.