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Finding the Fourth Proportional to 453.80, 681.71 and 280.59

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Solution

The fourth proportional to 453.80, 681.71 and 280.59 is: 421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 681.71 = 280.59 : x
  2. Step 2: Convert to fraction form
    453.80/681.71 = 280.59/x
  3. Step 3: Cross multiply
    453.80x = 681.71 × 280.59
  4. Step 4: Simplify right side
    453.80x = 191,279.61
  5. Step 5: Solve for x
    x = 191,279.61/453.80
  6. Step 6: Final answer
    x = 421.51

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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.