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Finding the Fourth Proportional to 599.84, 898.68 and 311.60

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Solution

The fourth proportional to 599.84, 898.68 and 311.60 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 898.68 = 311.60 : x
  2. Step 2: Convert to fraction form
    599.84/898.68 = 311.60/x
  3. Step 3: Cross multiply
    599.84x = 898.68 × 311.60
  4. Step 4: Simplify right side
    599.84x = 280,028.69
  5. Step 5: Solve for x
    x = 280,028.69/599.84
  6. Step 6: Final answer
    x = 466.84

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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.