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Finding the Fourth Proportional to 520.20, 716.34 and 464.92

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Solution

The fourth proportional to 520.20, 716.34 and 464.92 is: 640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 716.34 = 464.92 : x
  2. Step 2: Convert to fraction form
    520.20/716.34 = 464.92/x
  3. Step 3: Cross multiply
    520.20x = 716.34 × 464.92
  4. Step 4: Simplify right side
    520.20x = 333,039.00
  5. Step 5: Solve for x
    x = 333,039.00/520.20
  6. Step 6: Final answer
    x = 640.21

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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.