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Finding the Fourth Proportional to 592.23, 888.42 and 284.23

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Solution

The fourth proportional to 592.23, 888.42 and 284.23 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.23 : 888.42 = 284.23 : x
  2. Step 2: Convert to fraction form
    592.23/888.42 = 284.23/x
  3. Step 3: Cross multiply
    592.23x = 888.42 × 284.23
  4. Step 4: Simplify right side
    592.23x = 252,515.62
  5. Step 5: Solve for x
    x = 252,515.62/592.23
  6. Step 6: Final answer
    x = 426.38

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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.