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Finding the Fourth Proportional to 520.97, 718.67 and 464.16

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Solution

The fourth proportional to 520.97, 718.67 and 464.16 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.97 : 718.67 = 464.16 : x
  2. Step 2: Convert to fraction form
    520.97/718.67 = 464.16/x
  3. Step 3: Cross multiply
    520.97x = 718.67 × 464.16
  4. Step 4: Simplify right side
    520.97x = 333,579.03
  5. Step 5: Solve for x
    x = 333,579.03/520.97
  6. Step 6: Final answer
    x = 640.31

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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.