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Finding the Fourth Proportional to 531.29, 796.95 and 284.39

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Solution

The fourth proportional to 531.29, 796.95 and 284.39 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.29 : 796.95 = 284.39 : x
  2. Step 2: Convert to fraction form
    531.29/796.95 = 284.39/x
  3. Step 3: Cross multiply
    531.29x = 796.95 × 284.39
  4. Step 4: Simplify right side
    531.29x = 226,640.63
  5. Step 5: Solve for x
    x = 226,640.63/531.29
  6. Step 6: Final answer
    x = 426.59

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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.