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Finding the Fourth Proportional to 735.72, 1,101.41 and 644.59

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Solution

The fourth proportional to 735.72, 1,101.41 and 644.59 is: 964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.72 : 1,101.41 = 644.59 : x
  2. Step 2: Convert to fraction form
    735.72/1,101.41 = 644.59/x
  3. Step 3: Cross multiply
    735.72x = 1,101.41 × 644.59
  4. Step 4: Simplify right side
    735.72x = 709,954.65
  5. Step 5: Solve for x
    x = 709,954.65/735.72
  6. Step 6: Final answer
    x = 964.99

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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.