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Finding the Fourth Proportional to 817.12, 1,225.23 and 269.02

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Solution

The fourth proportional to 817.12, 1,225.23 and 269.02 is: 403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,225.23 = 269.02 : x
  2. Step 2: Convert to fraction form
    817.12/1,225.23 = 269.02/x
  3. Step 3: Cross multiply
    817.12x = 1,225.23 × 269.02
  4. Step 4: Simplify right side
    817.12x = 329,611.90
  5. Step 5: Solve for x
    x = 329,611.90/817.12
  6. Step 6: Final answer
    x = 403.38

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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.