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Finding the Fourth Proportional to 644.06, 889.15 and 434.59

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Solution

The fourth proportional to 644.06, 889.15 and 434.59 is: 599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 889.15 = 434.59 : x
  2. Step 2: Convert to fraction form
    644.06/889.15 = 434.59/x
  3. Step 3: Cross multiply
    644.06x = 889.15 × 434.59
  4. Step 4: Simplify right side
    644.06x = 386,416.93
  5. Step 5: Solve for x
    x = 386,416.93/644.06
  6. Step 6: Final answer
    x = 599.97

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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.