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Finding the Fourth Proportional to 816.26, 1,223.32 and 405.50

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Solution

The fourth proportional to 816.26, 1,223.32 and 405.50 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,223.32 = 405.50 : x
  2. Step 2: Convert to fraction form
    816.26/1,223.32 = 405.50/x
  3. Step 3: Cross multiply
    816.26x = 1,223.32 × 405.50
  4. Step 4: Simplify right side
    816.26x = 496,056.26
  5. Step 5: Solve for x
    x = 496,056.26/816.26
  6. Step 6: Final answer
    x = 607.72

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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.