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Finding the Fourth Proportional to 483.63, 724.03 and 300.47

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Solution

The fourth proportional to 483.63, 724.03 and 300.47 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.63 : 724.03 = 300.47 : x
  2. Step 2: Convert to fraction form
    483.63/724.03 = 300.47/x
  3. Step 3: Cross multiply
    483.63x = 724.03 × 300.47
  4. Step 4: Simplify right side
    483.63x = 217,549.29
  5. Step 5: Solve for x
    x = 217,549.29/483.63
  6. Step 6: Final answer
    x = 449.83

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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.