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Finding the Fourth Proportional to 644.59, 889.68 and 457.89

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Solution

The fourth proportional to 644.59, 889.68 and 457.89 is: 631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.59 : 889.68 = 457.89 : x
  2. Step 2: Convert to fraction form
    644.59/889.68 = 457.89/x
  3. Step 3: Cross multiply
    644.59x = 889.68 × 457.89
  4. Step 4: Simplify right side
    644.59x = 407,375.58
  5. Step 5: Solve for x
    x = 407,375.58/644.59
  6. Step 6: Final answer
    x = 631.99

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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.