Home / 1,148.12-1,722.27-326.46

Finding the Fourth Proportional to 1,148.12, 1,722.27 and 326.46

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Solution

The fourth proportional to 1,148.12, 1,722.27 and 326.46 is: 489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.12 : 1,722.27 = 326.46 : x
  2. Step 2: Convert to fraction form
    1,148.12/1,722.27 = 326.46/x
  3. Step 3: Cross multiply
    1,148.12x = 1,722.27 × 326.46
  4. Step 4: Simplify right side
    1,148.12x = 562,250.63
  5. Step 5: Solve for x
    x = 562,250.63/1,148.12
  6. Step 6: Final answer
    x = 489.71

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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.