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Finding the Fourth Proportional to 1,148.29, 1,722.71 and 326.55

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Solution

The fourth proportional to 1,148.29, 1,722.71 and 326.55 is: 489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.29 : 1,722.71 = 326.55 : x
  2. Step 2: Convert to fraction form
    1,148.29/1,722.71 = 326.55/x
  3. Step 3: Cross multiply
    1,148.29x = 1,722.71 × 326.55
  4. Step 4: Simplify right side
    1,148.29x = 562,540.70
  5. Step 5: Solve for x
    x = 562,540.70/1,148.29
  6. Step 6: Final answer
    x = 489.89

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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.