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Finding the Fourth Proportional to 644.08, 889.23 and 434.53

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Solution

The fourth proportional to 644.08, 889.23 and 434.53 is: 599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.08 : 889.23 = 434.53 : x
  2. Step 2: Convert to fraction form
    644.08/889.23 = 434.53/x
  3. Step 3: Cross multiply
    644.08x = 889.23 × 434.53
  4. Step 4: Simplify right side
    644.08x = 386,397.11
  5. Step 5: Solve for x
    x = 386,397.11/644.08
  6. Step 6: Final answer
    x = 599.92

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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.