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Finding the Fourth Proportional to 874.17, 1,206.23 and 520.11

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Solution

The fourth proportional to 874.17, 1,206.23 and 520.11 is: 717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.17 : 1,206.23 = 520.11 : x
  2. Step 2: Convert to fraction form
    874.17/1,206.23 = 520.11/x
  3. Step 3: Cross multiply
    874.17x = 1,206.23 × 520.11
  4. Step 4: Simplify right side
    874.17x = 627,369.68
  5. Step 5: Solve for x
    x = 627,369.68/874.17
  6. Step 6: Final answer
    x = 717.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.