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Finding the Fourth Proportional to 818.28, 1,225.04 and 610.97

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Solution

The fourth proportional to 818.28, 1,225.04 and 610.97 is: 914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.28 : 1,225.04 = 610.97 : x
  2. Step 2: Convert to fraction form
    818.28/1,225.04 = 610.97/x
  3. Step 3: Cross multiply
    818.28x = 1,225.04 × 610.97
  4. Step 4: Simplify right side
    818.28x = 748,453.51
  5. Step 5: Solve for x
    x = 748,453.51/818.28
  6. Step 6: Final answer
    x = 914.67

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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.