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Finding the Fourth Proportional to 520.22, 716.55 and 394.67

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Solution

The fourth proportional to 520.22, 716.55 and 394.67 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 716.55 = 394.67 : x
  2. Step 2: Convert to fraction form
    520.22/716.55 = 394.67/x
  3. Step 3: Cross multiply
    520.22x = 716.55 × 394.67
  4. Step 4: Simplify right side
    520.22x = 282,801.10
  5. Step 5: Solve for x
    x = 282,801.10/520.22
  6. Step 6: Final answer
    x = 543.62

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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.