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Finding the Fourth Proportional to 1,344.78, 2,016.26 and 522.10

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Solution

The fourth proportional to 1,344.78, 2,016.26 and 522.10 is: 782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.78 : 2,016.26 = 522.10 : x
  2. Step 2: Convert to fraction form
    1,344.78/2,016.26 = 522.10/x
  3. Step 3: Cross multiply
    1,344.78x = 2,016.26 × 522.10
  4. Step 4: Simplify right side
    1,344.78x = 1,052,689.35
  5. Step 5: Solve for x
    x = 1,052,689.35/1,344.78
  6. Step 6: Final answer
    x = 782.80

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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.