Home / 1,148.24-1,722.08-326.56

Finding the Fourth Proportional to 1,148.24, 1,722.08 and 326.56

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Solution

The fourth proportional to 1,148.24, 1,722.08 and 326.56 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.24 : 1,722.08 = 326.56 : x
  2. Step 2: Convert to fraction form
    1,148.24/1,722.08 = 326.56/x
  3. Step 3: Cross multiply
    1,148.24x = 1,722.08 × 326.56
  4. Step 4: Simplify right side
    1,148.24x = 562,362.44
  5. Step 5: Solve for x
    x = 562,362.44/1,148.24
  6. Step 6: Final answer
    x = 489.76

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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.