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Finding the Fourth Proportional to 453.85, 626.08 and 287.78

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Solution

The fourth proportional to 453.85, 626.08 and 287.78 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.85 : 626.08 = 287.78 : x
  2. Step 2: Convert to fraction form
    453.85/626.08 = 287.78/x
  3. Step 3: Cross multiply
    453.85x = 626.08 × 287.78
  4. Step 4: Simplify right side
    453.85x = 180,173.30
  5. Step 5: Solve for x
    x = 180,173.30/453.85
  6. Step 6: Final answer
    x = 396.99

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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.