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Finding the Fourth Proportional to 453.87, 681.55 and 297.95

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Solution

The fourth proportional to 453.87, 681.55 and 297.95 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.87 : 681.55 = 297.95 : x
  2. Step 2: Convert to fraction form
    453.87/681.55 = 297.95/x
  3. Step 3: Cross multiply
    453.87x = 681.55 × 297.95
  4. Step 4: Simplify right side
    453.87x = 203,063.67
  5. Step 5: Solve for x
    x = 203,063.67/453.87
  6. Step 6: Final answer
    x = 447.40

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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.