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Finding the Fourth Proportional to 625.87, 864.47 and 469.21

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Solution

The fourth proportional to 625.87, 864.47 and 469.21 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.87 : 864.47 = 469.21 : x
  2. Step 2: Convert to fraction form
    625.87/864.47 = 469.21/x
  3. Step 3: Cross multiply
    625.87x = 864.47 × 469.21
  4. Step 4: Simplify right side
    625.87x = 405,617.97
  5. Step 5: Solve for x
    x = 405,617.97/625.87
  6. Step 6: Final answer
    x = 648.09

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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.