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Finding the Fourth Proportional to 453.04, 677.49 and 337.57

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Solution

The fourth proportional to 453.04, 677.49 and 337.57 is: 504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.04 : 677.49 = 337.57 : x
  2. Step 2: Convert to fraction form
    453.04/677.49 = 337.57/x
  3. Step 3: Cross multiply
    453.04x = 677.49 × 337.57
  4. Step 4: Simplify right side
    453.04x = 228,696.49
  5. Step 5: Solve for x
    x = 228,696.49/453.04
  6. Step 6: Final answer
    x = 504.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.