Home / 1,214.15-1,821.90-520.76

Finding the Fourth Proportional to 1,214.15, 1,821.90 and 520.76

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Solution

The fourth proportional to 1,214.15, 1,821.90 and 520.76 is: 781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.15 : 1,821.90 = 520.76 : x
  2. Step 2: Convert to fraction form
    1,214.15/1,821.90 = 520.76/x
  3. Step 3: Cross multiply
    1,214.15x = 1,821.90 × 520.76
  4. Step 4: Simplify right side
    1,214.15x = 948,763.53
  5. Step 5: Solve for x
    x = 948,763.53/1,214.15
  6. Step 6: Final answer
    x = 781.43

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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.