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Finding the Fourth Proportional to 817.59, 1,224.90 and 406.11

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Solution

The fourth proportional to 817.59, 1,224.90 and 406.11 is: 608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,224.90 = 406.11 : x
  2. Step 2: Convert to fraction form
    817.59/1,224.90 = 406.11/x
  3. Step 3: Cross multiply
    817.59x = 1,224.90 × 406.11
  4. Step 4: Simplify right side
    817.59x = 497,444.14
  5. Step 5: Solve for x
    x = 497,444.14/817.59
  6. Step 6: Final answer
    x = 608.43

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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.