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Finding the Fourth Proportional to 815.28, 1,221.86 and 522.67

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Solution

The fourth proportional to 815.28, 1,221.86 and 522.67 is: 783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.28 : 1,221.86 = 522.67 : x
  2. Step 2: Convert to fraction form
    815.28/1,221.86 = 522.67/x
  3. Step 3: Cross multiply
    815.28x = 1,221.86 × 522.67
  4. Step 4: Simplify right side
    815.28x = 638,623.46
  5. Step 5: Solve for x
    x = 638,623.46/815.28
  6. Step 6: Final answer
    x = 783.32

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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.