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Finding the Fourth Proportional to 816.42, 1,223.01 and 786.25

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Solution

The fourth proportional to 816.42, 1,223.01 and 786.25 is: 1,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.42 : 1,223.01 = 786.25 : x
  2. Step 2: Convert to fraction form
    816.42/1,223.01 = 786.25/x
  3. Step 3: Cross multiply
    816.42x = 1,223.01 × 786.25
  4. Step 4: Simplify right side
    816.42x = 961,588.55
  5. Step 5: Solve for x
    x = 961,588.55/816.42
  6. Step 6: Final answer
    x = 1,177.81

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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.