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Finding the Fourth Proportional to 2,558.66, 3,837.97 and 709.77

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Solution

The fourth proportional to 2,558.66, 3,837.97 and 709.77 is: 1,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.66 : 3,837.97 = 709.77 : x
  2. Step 2: Convert to fraction form
    2,558.66/3,837.97 = 709.77/x
  3. Step 3: Cross multiply
    2,558.66x = 3,837.97 × 709.77
  4. Step 4: Simplify right side
    2,558.66x = 2,724,075.97
  5. Step 5: Solve for x
    x = 2,724,075.97/2,558.66
  6. Step 6: Final answer
    x = 1,064.65

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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.