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Finding the Fourth Proportional to 637.41, 880.49 and 499.28

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Solution

The fourth proportional to 637.41, 880.49 and 499.28 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.41 : 880.49 = 499.28 : x
  2. Step 2: Convert to fraction form
    637.41/880.49 = 499.28/x
  3. Step 3: Cross multiply
    637.41x = 880.49 × 499.28
  4. Step 4: Simplify right side
    637.41x = 439,607.89
  5. Step 5: Solve for x
    x = 439,607.89/637.41
  6. Step 6: Final answer
    x = 689.68

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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.