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Finding the Fourth Proportional to 1,095.14, 1,643.42 and 517.70

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Solution

The fourth proportional to 1,095.14, 1,643.42 and 517.70 is: 776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.14 : 1,643.42 = 517.70 : x
  2. Step 2: Convert to fraction form
    1,095.14/1,643.42 = 517.70/x
  3. Step 3: Cross multiply
    1,095.14x = 1,643.42 × 517.70
  4. Step 4: Simplify right side
    1,095.14x = 850,791.61
  5. Step 5: Solve for x
    x = 850,791.61/1,095.14
  6. Step 6: Final answer
    x = 776.88

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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.