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Finding the Fourth Proportional to 453.95, 679.79 and 280.36

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Solution

The fourth proportional to 453.95, 679.79 and 280.36 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.95 : 679.79 = 280.36 : x
  2. Step 2: Convert to fraction form
    453.95/679.79 = 280.36/x
  3. Step 3: Cross multiply
    453.95x = 679.79 × 280.36
  4. Step 4: Simplify right side
    453.95x = 190,587.48
  5. Step 5: Solve for x
    x = 190,587.48/453.95
  6. Step 6: Final answer
    x = 419.84

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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.