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Finding the Fourth Proportional to 1,693.80, 2,337.77 and 1,223.29

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Solution

The fourth proportional to 1,693.80, 2,337.77 and 1,223.29 is: 1,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.80 : 2,337.77 = 1,223.29 : x
  2. Step 2: Convert to fraction form
    1,693.80/2,337.77 = 1,223.29/x
  3. Step 3: Cross multiply
    1,693.80x = 2,337.77 × 1,223.29
  4. Step 4: Simplify right side
    1,693.80x = 2,859,770.66
  5. Step 5: Solve for x
    x = 2,859,770.66/1,693.80
  6. Step 6: Final answer
    x = 1,688.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.