Home / 1,214.49-1,822.25-521.31

Finding the Fourth Proportional to 1,214.49, 1,822.25 and 521.31

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Solution

The fourth proportional to 1,214.49, 1,822.25 and 521.31 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.49 : 1,822.25 = 521.31 : x
  2. Step 2: Convert to fraction form
    1,214.49/1,822.25 = 521.31/x
  3. Step 3: Cross multiply
    1,214.49x = 1,822.25 × 521.31
  4. Step 4: Simplify right side
    1,214.49x = 949,957.15
  5. Step 5: Solve for x
    x = 949,957.15/1,214.49
  6. Step 6: Final answer
    x = 782.19

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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.