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Finding the Fourth Proportional to 644.70, 962.96 and 553.74

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Solution

The fourth proportional to 644.70, 962.96 and 553.74 is: 827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.70 : 962.96 = 553.74 : x
  2. Step 2: Convert to fraction form
    644.70/962.96 = 553.74/x
  3. Step 3: Cross multiply
    644.70x = 962.96 × 553.74
  4. Step 4: Simplify right side
    644.70x = 533,226.70
  5. Step 5: Solve for x
    x = 533,226.70/644.70
  6. Step 6: Final answer
    x = 827.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.