Home / 1,322.20-1,981.93-541.87

Finding the Fourth Proportional to 1,322.20, 1,981.93 and 541.87

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Solution

The fourth proportional to 1,322.20, 1,981.93 and 541.87 is: 812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.20 : 1,981.93 = 541.87 : x
  2. Step 2: Convert to fraction form
    1,322.20/1,981.93 = 541.87/x
  3. Step 3: Cross multiply
    1,322.20x = 1,981.93 × 541.87
  4. Step 4: Simplify right side
    1,322.20x = 1,073,948.41
  5. Step 5: Solve for x
    x = 1,073,948.41/1,322.20
  6. Step 6: Final answer
    x = 812.24

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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.