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Finding the Fourth Proportional to 592.38, 888.69 and 284.39

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Solution

The fourth proportional to 592.38, 888.69 and 284.39 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.38 : 888.69 = 284.39 : x
  2. Step 2: Convert to fraction form
    592.38/888.69 = 284.39/x
  3. Step 3: Cross multiply
    592.38x = 888.69 × 284.39
  4. Step 4: Simplify right side
    592.38x = 252,730.11
  5. Step 5: Solve for x
    x = 252,730.11/592.38
  6. Step 6: Final answer
    x = 426.64

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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.