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Finding the Fourth Proportional to 815.85, 1,224.08 and 377.31

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Solution

The fourth proportional to 815.85, 1,224.08 and 377.31 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.85 : 1,224.08 = 377.31 : x
  2. Step 2: Convert to fraction form
    815.85/1,224.08 = 377.31/x
  3. Step 3: Cross multiply
    815.85x = 1,224.08 × 377.31
  4. Step 4: Simplify right side
    815.85x = 461,861.74
  5. Step 5: Solve for x
    x = 461,861.74/815.85
  6. Step 6: Final answer
    x = 566.11

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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.