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Finding the Fourth Proportional to 589.20, 813.20 and 449.10

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Solution

The fourth proportional to 589.20, 813.20 and 449.10 is: 619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 813.20 = 449.10 : x
  2. Step 2: Convert to fraction form
    589.20/813.20 = 449.10/x
  3. Step 3: Cross multiply
    589.20x = 813.20 × 449.10
  4. Step 4: Simplify right side
    589.20x = 365,208.12
  5. Step 5: Solve for x
    x = 365,208.12/589.20
  6. Step 6: Final answer
    x = 619.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.