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Finding the Fourth Proportional to 487.80, 730.32 and 449.53

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Solution

The fourth proportional to 487.80, 730.32 and 449.53 is: 673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.80 : 730.32 = 449.53 : x
  2. Step 2: Convert to fraction form
    487.80/730.32 = 449.53/x
  3. Step 3: Cross multiply
    487.80x = 730.32 × 449.53
  4. Step 4: Simplify right side
    487.80x = 328,300.75
  5. Step 5: Solve for x
    x = 328,300.75/487.80
  6. Step 6: Final answer
    x = 673.02

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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.