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Finding the Fourth Proportional to 637.34, 881.16 and 490.46

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Solution

The fourth proportional to 637.34, 881.16 and 490.46 is: 678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.34 : 881.16 = 490.46 : x
  2. Step 2: Convert to fraction form
    637.34/881.16 = 490.46/x
  3. Step 3: Cross multiply
    637.34x = 881.16 × 490.46
  4. Step 4: Simplify right side
    637.34x = 432,173.73
  5. Step 5: Solve for x
    x = 432,173.73/637.34
  6. Step 6: Final answer
    x = 678.09

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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.