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Finding the Fourth Proportional to 644.16, 889.62 and 423.84

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Solution

The fourth proportional to 644.16, 889.62 and 423.84 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 889.62 = 423.84 : x
  2. Step 2: Convert to fraction form
    644.16/889.62 = 423.84/x
  3. Step 3: Cross multiply
    644.16x = 889.62 × 423.84
  4. Step 4: Simplify right side
    644.16x = 377,056.54
  5. Step 5: Solve for x
    x = 377,056.54/644.16
  6. Step 6: Final answer
    x = 585.35

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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.