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Finding the Fourth Proportional to 817.36, 1,126.84 and 561.84

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Solution

The fourth proportional to 817.36, 1,126.84 and 561.84 is: 774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.36 : 1,126.84 = 561.84 : x
  2. Step 2: Convert to fraction form
    817.36/1,126.84 = 561.84/x
  3. Step 3: Cross multiply
    817.36x = 1,126.84 × 561.84
  4. Step 4: Simplify right side
    817.36x = 633,103.79
  5. Step 5: Solve for x
    x = 633,103.79/817.36
  6. Step 6: Final answer
    x = 774.57

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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.