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Finding the Fourth Proportional to 1,257.09, 1,734.53 and 697.44

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Solution

The fourth proportional to 1,257.09, 1,734.53 and 697.44 is: 962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.09 : 1,734.53 = 697.44 : x
  2. Step 2: Convert to fraction form
    1,257.09/1,734.53 = 697.44/x
  3. Step 3: Cross multiply
    1,257.09x = 1,734.53 × 697.44
  4. Step 4: Simplify right side
    1,257.09x = 1,209,732.35
  5. Step 5: Solve for x
    x = 1,209,732.35/1,257.09
  6. Step 6: Final answer
    x = 962.33

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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.