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Finding the Fourth Proportional to 502.79, 754.19 and 280.57

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Solution

The fourth proportional to 502.79, 754.19 and 280.57 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.79 : 754.19 = 280.57 : x
  2. Step 2: Convert to fraction form
    502.79/754.19 = 280.57/x
  3. Step 3: Cross multiply
    502.79x = 754.19 × 280.57
  4. Step 4: Simplify right side
    502.79x = 211,603.09
  5. Step 5: Solve for x
    x = 211,603.09/502.79
  6. Step 6: Final answer
    x = 420.86

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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.