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Finding the Fourth Proportional to 453.67, 627.45 and 404.46

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Solution

The fourth proportional to 453.67, 627.45 and 404.46 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.67 : 627.45 = 404.46 : x
  2. Step 2: Convert to fraction form
    453.67/627.45 = 404.46/x
  3. Step 3: Cross multiply
    453.67x = 627.45 × 404.46
  4. Step 4: Simplify right side
    453.67x = 253,776.91
  5. Step 5: Solve for x
    x = 253,776.91/453.67
  6. Step 6: Final answer
    x = 559.39

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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.