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Finding the Fourth Proportional to 2,705.81, 4,058.91 and 758.16

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Solution

The fourth proportional to 2,705.81, 4,058.91 and 758.16 is: 1,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.81 : 4,058.91 = 758.16 : x
  2. Step 2: Convert to fraction form
    2,705.81/4,058.91 = 758.16/x
  3. Step 3: Cross multiply
    2,705.81x = 4,058.91 × 758.16
  4. Step 4: Simplify right side
    2,705.81x = 3,077,303.21
  5. Step 5: Solve for x
    x = 3,077,303.21/2,705.81
  6. Step 6: Final answer
    x = 1,137.30

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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.