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Finding the Fourth Proportional to 817.13, 1,225.08 and 268.98

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Solution

The fourth proportional to 817.13, 1,225.08 and 268.98 is: 403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.13 : 1,225.08 = 268.98 : x
  2. Step 2: Convert to fraction form
    817.13/1,225.08 = 268.98/x
  3. Step 3: Cross multiply
    817.13x = 1,225.08 × 268.98
  4. Step 4: Simplify right side
    817.13x = 329,522.02
  5. Step 5: Solve for x
    x = 329,522.02/817.13
  6. Step 6: Final answer
    x = 403.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.