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Finding the Fourth Proportional to 469.16, 643.84 and 467

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Solution

The fourth proportional to 469.16, 643.84 and 467 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.16 : 643.84 = 467 : x
  2. Step 2: Convert to fraction form
    469.16/643.84 = 467/x
  3. Step 3: Cross multiply
    469.16x = 643.84 × 467
  4. Step 4: Simplify right side
    469.16x = 300,673.28
  5. Step 5: Solve for x
    x = 300,673.28/469.16
  6. Step 6: Final answer
    x = 640.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.