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Finding the Fourth Proportional to 589.76, 813.50 and 449.63

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Solution

The fourth proportional to 589.76, 813.50 and 449.63 is: 620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.76 : 813.50 = 449.63 : x
  2. Step 2: Convert to fraction form
    589.76/813.50 = 449.63/x
  3. Step 3: Cross multiply
    589.76x = 813.50 × 449.63
  4. Step 4: Simplify right side
    589.76x = 365,767.69
  5. Step 5: Solve for x
    x = 365,767.69/589.76
  6. Step 6: Final answer
    x = 620.20

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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.