Home / 1,215.65-1,824.15-522.26

Finding the Fourth Proportional to 1,215.65, 1,824.15 and 522.26

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Solution

The fourth proportional to 1,215.65, 1,824.15 and 522.26 is: 783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.65 : 1,824.15 = 522.26 : x
  2. Step 2: Convert to fraction form
    1,215.65/1,824.15 = 522.26/x
  3. Step 3: Cross multiply
    1,215.65x = 1,824.15 × 522.26
  4. Step 4: Simplify right side
    1,215.65x = 952,671.46
  5. Step 5: Solve for x
    x = 952,671.46/1,215.65
  6. Step 6: Final answer
    x = 783.68

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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.