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Finding the Fourth Proportional to 590.78, 885.99 and 282.47

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Solution

The fourth proportional to 590.78, 885.99 and 282.47 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 885.99 = 282.47 : x
  2. Step 2: Convert to fraction form
    590.78/885.99 = 282.47/x
  3. Step 3: Cross multiply
    590.78x = 885.99 × 282.47
  4. Step 4: Simplify right side
    590.78x = 250,265.60
  5. Step 5: Solve for x
    x = 250,265.60/590.78
  6. Step 6: Final answer
    x = 423.62

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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.