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Finding the Fourth Proportional to 599.30, 898.28 and 282.85

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Solution

The fourth proportional to 599.30, 898.28 and 282.85 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 898.28 = 282.85 : x
  2. Step 2: Convert to fraction form
    599.30/898.28 = 282.85/x
  3. Step 3: Cross multiply
    599.30x = 898.28 × 282.85
  4. Step 4: Simplify right side
    599.30x = 254,078.50
  5. Step 5: Solve for x
    x = 254,078.50/599.30
  6. Step 6: Final answer
    x = 423.96

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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.