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Finding the Fourth Proportional to 489.39, 733.15 and 380.64

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Solution

The fourth proportional to 489.39, 733.15 and 380.64 is: 570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.39 : 733.15 = 380.64 : x
  2. Step 2: Convert to fraction form
    489.39/733.15 = 380.64/x
  3. Step 3: Cross multiply
    489.39x = 733.15 × 380.64
  4. Step 4: Simplify right side
    489.39x = 279,066.22
  5. Step 5: Solve for x
    x = 279,066.22/489.39
  6. Step 6: Final answer
    x = 570.23

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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.