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Finding the Fourth Proportional to 644.10, 964.53 and 553.38

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Solution

The fourth proportional to 644.10, 964.53 and 553.38 is: 828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.10 : 964.53 = 553.38 : x
  2. Step 2: Convert to fraction form
    644.10/964.53 = 553.38/x
  3. Step 3: Cross multiply
    644.10x = 964.53 × 553.38
  4. Step 4: Simplify right side
    644.10x = 533,751.61
  5. Step 5: Solve for x
    x = 533,751.61/644.10
  6. Step 6: Final answer
    x = 828.68

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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.