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Finding the Fourth Proportional to 1,216.07, 1,822.82 and 522.57

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Solution

The fourth proportional to 1,216.07, 1,822.82 and 522.57 is: 783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.07 : 1,822.82 = 522.57 : x
  2. Step 2: Convert to fraction form
    1,216.07/1,822.82 = 522.57/x
  3. Step 3: Cross multiply
    1,216.07x = 1,822.82 × 522.57
  4. Step 4: Simplify right side
    1,216.07x = 952,548.43
  5. Step 5: Solve for x
    x = 952,548.43/1,216.07
  6. Step 6: Final answer
    x = 783.30

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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.