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Finding the Fourth Proportional to 1,693.17, 2,539.71 and 667.17

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Solution

The fourth proportional to 1,693.17, 2,539.71 and 667.17 is: 1,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.17 : 2,539.71 = 667.17 : x
  2. Step 2: Convert to fraction form
    1,693.17/2,539.71 = 667.17/x
  3. Step 3: Cross multiply
    1,693.17x = 2,539.71 × 667.17
  4. Step 4: Simplify right side
    1,693.17x = 1,694,418.32
  5. Step 5: Solve for x
    x = 1,694,418.32/1,693.17
  6. Step 6: Final answer
    x = 1,000.74

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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.