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Finding the Fourth Proportional to 1,689.91, 2,331.53 and 943.75

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Solution

The fourth proportional to 1,689.91, 2,331.53 and 943.75 is: 1,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.91 : 2,331.53 = 943.75 : x
  2. Step 2: Convert to fraction form
    1,689.91/2,331.53 = 943.75/x
  3. Step 3: Cross multiply
    1,689.91x = 2,331.53 × 943.75
  4. Step 4: Simplify right side
    1,689.91x = 2,200,388.48
  5. Step 5: Solve for x
    x = 2,200,388.48/1,689.91
  6. Step 6: Final answer
    x = 1,302.07

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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.