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Finding the Fourth Proportional to 816.37, 1,224.56 and 405.10

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Solution

The fourth proportional to 816.37, 1,224.56 and 405.10 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.37 : 1,224.56 = 405.10 : x
  2. Step 2: Convert to fraction form
    816.37/1,224.56 = 405.10/x
  3. Step 3: Cross multiply
    816.37x = 1,224.56 × 405.10
  4. Step 4: Simplify right side
    816.37x = 496,069.26
  5. Step 5: Solve for x
    x = 496,069.26/816.37
  6. Step 6: Final answer
    x = 607.65

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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.