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Finding the Fourth Proportional to 644.76, 967.44 and 553.26

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Solution

The fourth proportional to 644.76, 967.44 and 553.26 is: 830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 967.44 = 553.26 : x
  2. Step 2: Convert to fraction form
    644.76/967.44 = 553.26/x
  3. Step 3: Cross multiply
    644.76x = 967.44 × 553.26
  4. Step 4: Simplify right side
    644.76x = 535,245.85
  5. Step 5: Solve for x
    x = 535,245.85/644.76
  6. Step 6: Final answer
    x = 830.15

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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.