Home / 1,215.44-1,823.40-522.18

Finding the Fourth Proportional to 1,215.44, 1,823.40 and 522.18

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Solution

The fourth proportional to 1,215.44, 1,823.40 and 522.18 is: 783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.44 : 1,823.40 = 522.18 : x
  2. Step 2: Convert to fraction form
    1,215.44/1,823.40 = 522.18/x
  3. Step 3: Cross multiply
    1,215.44x = 1,823.40 × 522.18
  4. Step 4: Simplify right side
    1,215.44x = 952,133.90
  5. Step 5: Solve for x
    x = 952,133.90/1,215.44
  6. Step 6: Final answer
    x = 783.37

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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.