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Finding the Fourth Proportional to 2,705.70, 4,058.79 and 757.91

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Solution

The fourth proportional to 2,705.70, 4,058.79 and 757.91 is: 1,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.70 : 4,058.79 = 757.91 : x
  2. Step 2: Convert to fraction form
    2,705.70/4,058.79 = 757.91/x
  3. Step 3: Cross multiply
    2,705.70x = 4,058.79 × 757.91
  4. Step 4: Simplify right side
    2,705.70x = 3,076,177.23
  5. Step 5: Solve for x
    x = 3,076,177.23/2,705.70
  6. Step 6: Final answer
    x = 1,136.92

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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.