Home / 1,214.68-1,821.64-521.17

Finding the Fourth Proportional to 1,214.68, 1,821.64 and 521.17

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Solution

The fourth proportional to 1,214.68, 1,821.64 and 521.17 is: 781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.68 : 1,821.64 = 521.17 : x
  2. Step 2: Convert to fraction form
    1,214.68/1,821.64 = 521.17/x
  3. Step 3: Cross multiply
    1,214.68x = 1,821.64 × 521.17
  4. Step 4: Simplify right side
    1,214.68x = 949,384.12
  5. Step 5: Solve for x
    x = 949,384.12/1,214.68
  6. Step 6: Final answer
    x = 781.59

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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.