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Finding the Fourth Proportional to 515.10, 771.69 and 344.22

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Solution

The fourth proportional to 515.10, 771.69 and 344.22 is: 515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.10 : 771.69 = 344.22 : x
  2. Step 2: Convert to fraction form
    515.10/771.69 = 344.22/x
  3. Step 3: Cross multiply
    515.10x = 771.69 × 344.22
  4. Step 4: Simplify right side
    515.10x = 265,631.13
  5. Step 5: Solve for x
    x = 265,631.13/515.10
  6. Step 6: Final answer
    x = 515.69

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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.