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Finding the Fourth Proportional to 520.10, 717.38 and 409.38

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Solution

The fourth proportional to 520.10, 717.38 and 409.38 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 717.38 = 409.38 : x
  2. Step 2: Convert to fraction form
    520.10/717.38 = 409.38/x
  3. Step 3: Cross multiply
    520.10x = 717.38 × 409.38
  4. Step 4: Simplify right side
    520.10x = 293,680.99
  5. Step 5: Solve for x
    x = 293,680.99/520.10
  6. Step 6: Final answer
    x = 564.67

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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.