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Finding the Fourth Proportional to 640.51, 884.64 and 523.87

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Solution

The fourth proportional to 640.51, 884.64 and 523.87 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.51 : 884.64 = 523.87 : x
  2. Step 2: Convert to fraction form
    640.51/884.64 = 523.87/x
  3. Step 3: Cross multiply
    640.51x = 884.64 × 523.87
  4. Step 4: Simplify right side
    640.51x = 463,436.36
  5. Step 5: Solve for x
    x = 463,436.36/640.51
  6. Step 6: Final answer
    x = 723.54

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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.