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Finding the Fourth Proportional to 644.56, 889.10 and 476.34

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Solution

The fourth proportional to 644.56, 889.10 and 476.34 is: 657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.56 : 889.10 = 476.34 : x
  2. Step 2: Convert to fraction form
    644.56/889.10 = 476.34/x
  3. Step 3: Cross multiply
    644.56x = 889.10 × 476.34
  4. Step 4: Simplify right side
    644.56x = 423,513.89
  5. Step 5: Solve for x
    x = 423,513.89/644.56
  6. Step 6: Final answer
    x = 657.06

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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.