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Finding the Fourth Proportional to 644.34, 890.30 and 498.24

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Solution

The fourth proportional to 644.34, 890.30 and 498.24 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.34 : 890.30 = 498.24 : x
  2. Step 2: Convert to fraction form
    644.34/890.30 = 498.24/x
  3. Step 3: Cross multiply
    644.34x = 890.30 × 498.24
  4. Step 4: Simplify right side
    644.34x = 443,583.07
  5. Step 5: Solve for x
    x = 443,583.07/644.34
  6. Step 6: Final answer
    x = 688.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.