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Finding the Fourth Proportional to 2,327.78, 3,491.70 and 572.79

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Solution

The fourth proportional to 2,327.78, 3,491.70 and 572.79 is: 859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.78 : 3,491.70 = 572.79 : x
  2. Step 2: Convert to fraction form
    2,327.78/3,491.70 = 572.79/x
  3. Step 3: Cross multiply
    2,327.78x = 3,491.70 × 572.79
  4. Step 4: Simplify right side
    2,327.78x = 1,999,995.53
  5. Step 5: Solve for x
    x = 1,999,995.53/2,327.78
  6. Step 6: Final answer
    x = 859.19

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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.