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Finding the Fourth Proportional to 512.19, 767.91 and 280.53

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Solution

The fourth proportional to 512.19, 767.91 and 280.53 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 767.91 = 280.53 : x
  2. Step 2: Convert to fraction form
    512.19/767.91 = 280.53/x
  3. Step 3: Cross multiply
    512.19x = 767.91 × 280.53
  4. Step 4: Simplify right side
    512.19x = 215,421.79
  5. Step 5: Solve for x
    x = 215,421.79/512.19
  6. Step 6: Final answer
    x = 420.59

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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.