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Finding the Fourth Proportional to 453.91, 680.87 and 145.77

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Solution

The fourth proportional to 453.91, 680.87 and 145.77 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.91 : 680.87 = 145.77 : x
  2. Step 2: Convert to fraction form
    453.91/680.87 = 145.77/x
  3. Step 3: Cross multiply
    453.91x = 680.87 × 145.77
  4. Step 4: Simplify right side
    453.91x = 99,250.42
  5. Step 5: Solve for x
    x = 99,250.42/453.91
  6. Step 6: Final answer
    x = 218.66

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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.