Home / 1,234.32-1,850.40-584.57

Finding the Fourth Proportional to 1,234.32, 1,850.40 and 584.57

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Solution

The fourth proportional to 1,234.32, 1,850.40 and 584.57 is: 876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.32 : 1,850.40 = 584.57 : x
  2. Step 2: Convert to fraction form
    1,234.32/1,850.40 = 584.57/x
  3. Step 3: Cross multiply
    1,234.32x = 1,850.40 × 584.57
  4. Step 4: Simplify right side
    1,234.32x = 1,081,679.08
  5. Step 5: Solve for x
    x = 1,081,679.08/1,234.32
  6. Step 6: Final answer
    x = 876.34

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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.