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Finding the Fourth Proportional to 1,257.57, 1,736.34 and 943.53

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Solution

The fourth proportional to 1,257.57, 1,736.34 and 943.53 is: 1,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.57 : 1,736.34 = 943.53 : x
  2. Step 2: Convert to fraction form
    1,257.57/1,736.34 = 943.53/x
  3. Step 3: Cross multiply
    1,257.57x = 1,736.34 × 943.53
  4. Step 4: Simplify right side
    1,257.57x = 1,638,288.88
  5. Step 5: Solve for x
    x = 1,638,288.88/1,257.57
  6. Step 6: Final answer
    x = 1,302.74

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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.