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Finding the Fourth Proportional to 599.30, 898.81 and 339.80

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Solution

The fourth proportional to 599.30, 898.81 and 339.80 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 898.81 = 339.80 : x
  2. Step 2: Convert to fraction form
    599.30/898.81 = 339.80/x
  3. Step 3: Cross multiply
    599.30x = 898.81 × 339.80
  4. Step 4: Simplify right side
    599.30x = 305,412.21
  5. Step 5: Solve for x
    x = 305,412.21/599.30
  6. Step 6: Final answer
    x = 509.62

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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.