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Finding the Fourth Proportional to 469.89, 644.23 and 462.72

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Solution

The fourth proportional to 469.89, 644.23 and 462.72 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 644.23 = 462.72 : x
  2. Step 2: Convert to fraction form
    469.89/644.23 = 462.72/x
  3. Step 3: Cross multiply
    469.89x = 644.23 × 462.72
  4. Step 4: Simplify right side
    469.89x = 298,096.95
  5. Step 5: Solve for x
    x = 298,096.95/469.89
  6. Step 6: Final answer
    x = 634.40

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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.