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Finding the Fourth Proportional to 817.40, 1,223.22 and 561.08

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Solution

The fourth proportional to 817.40, 1,223.22 and 561.08 is: 839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.40 : 1,223.22 = 561.08 : x
  2. Step 2: Convert to fraction form
    817.40/1,223.22 = 561.08/x
  3. Step 3: Cross multiply
    817.40x = 1,223.22 × 561.08
  4. Step 4: Simplify right side
    817.40x = 686,324.28
  5. Step 5: Solve for x
    x = 686,324.28/817.40
  6. Step 6: Final answer
    x = 839.64

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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.