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Finding the Fourth Proportional to 644.32, 888.24 and 434.62

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Solution

The fourth proportional to 644.32, 888.24 and 434.62 is: 599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 888.24 = 434.62 : x
  2. Step 2: Convert to fraction form
    644.32/888.24 = 434.62/x
  3. Step 3: Cross multiply
    644.32x = 888.24 × 434.62
  4. Step 4: Simplify right side
    644.32x = 386,046.87
  5. Step 5: Solve for x
    x = 386,046.87/644.32
  6. Step 6: Final answer
    x = 599.15

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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.