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Finding the Fourth Proportional to 816.65, 1,225.08 and 269.03

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Solution

The fourth proportional to 816.65, 1,225.08 and 269.03 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.65 : 1,225.08 = 269.03 : x
  2. Step 2: Convert to fraction form
    816.65/1,225.08 = 269.03/x
  3. Step 3: Cross multiply
    816.65x = 1,225.08 × 269.03
  4. Step 4: Simplify right side
    816.65x = 329,580.20
  5. Step 5: Solve for x
    x = 329,580.20/816.65
  6. Step 6: Final answer
    x = 403.57

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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.