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Finding the Fourth Proportional to 816.81, 1,224.36 and 621.27

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Solution

The fourth proportional to 816.81, 1,224.36 and 621.27 is: 931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.81 : 1,224.36 = 621.27 : x
  2. Step 2: Convert to fraction form
    816.81/1,224.36 = 621.27/x
  3. Step 3: Cross multiply
    816.81x = 1,224.36 × 621.27
  4. Step 4: Simplify right side
    816.81x = 760,658.14
  5. Step 5: Solve for x
    x = 760,658.14/816.81
  6. Step 6: Final answer
    x = 931.25

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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.