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Finding the Fourth Proportional to 644.24, 883.06 and 632.84

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Solution

The fourth proportional to 644.24, 883.06 and 632.84 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 883.06 = 632.84 : x
  2. Step 2: Convert to fraction form
    644.24/883.06 = 632.84/x
  3. Step 3: Cross multiply
    644.24x = 883.06 × 632.84
  4. Step 4: Simplify right side
    644.24x = 558,835.69
  5. Step 5: Solve for x
    x = 558,835.69/644.24
  6. Step 6: Final answer
    x = 867.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.