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Finding the Fourth Proportional to 1,230.78, 1,846.96 and 581.54

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Solution

The fourth proportional to 1,230.78, 1,846.96 and 581.54 is: 872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.78 : 1,846.96 = 581.54 : x
  2. Step 2: Convert to fraction form
    1,230.78/1,846.96 = 581.54/x
  3. Step 3: Cross multiply
    1,230.78x = 1,846.96 × 581.54
  4. Step 4: Simplify right side
    1,230.78x = 1,074,081.12
  5. Step 5: Solve for x
    x = 1,074,081.12/1,230.78
  6. Step 6: Final answer
    x = 872.68

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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.