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Finding the Fourth Proportional to 644.33, 964.64 and 577.55

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Solution

The fourth proportional to 644.33, 964.64 and 577.55 is: 864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.33 : 964.64 = 577.55 : x
  2. Step 2: Convert to fraction form
    644.33/964.64 = 577.55/x
  3. Step 3: Cross multiply
    644.33x = 964.64 × 577.55
  4. Step 4: Simplify right side
    644.33x = 557,120.12
  5. Step 5: Solve for x
    x = 557,120.12/644.33
  6. Step 6: Final answer
    x = 864.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.