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Finding the Fourth Proportional to 592.78, 888.99 and 284.47

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Solution

The fourth proportional to 592.78, 888.99 and 284.47 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.78 : 888.99 = 284.47 : x
  2. Step 2: Convert to fraction form
    592.78/888.99 = 284.47/x
  3. Step 3: Cross multiply
    592.78x = 888.99 × 284.47
  4. Step 4: Simplify right side
    592.78x = 252,890.99
  5. Step 5: Solve for x
    x = 252,890.99/592.78
  6. Step 6: Final answer
    x = 426.62

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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.