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Finding the Fourth Proportional to 1,010.22, 1,513.92 and 522.26

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Solution

The fourth proportional to 1,010.22, 1,513.92 and 522.26 is: 782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.22 : 1,513.92 = 522.26 : x
  2. Step 2: Convert to fraction form
    1,010.22/1,513.92 = 522.26/x
  3. Step 3: Cross multiply
    1,010.22x = 1,513.92 × 522.26
  4. Step 4: Simplify right side
    1,010.22x = 790,659.86
  5. Step 5: Solve for x
    x = 790,659.86/1,010.22
  6. Step 6: Final answer
    x = 782.66

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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.