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Finding the Fourth Proportional to 1,479.36, 2,040.72 and 858.24

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Solution

The fourth proportional to 1,479.36, 2,040.72 and 858.24 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.36 : 2,040.72 = 858.24 : x
  2. Step 2: Convert to fraction form
    1,479.36/2,040.72 = 858.24/x
  3. Step 3: Cross multiply
    1,479.36x = 2,040.72 × 858.24
  4. Step 4: Simplify right side
    1,479.36x = 1,751,427.53
  5. Step 5: Solve for x
    x = 1,751,427.53/1,479.36
  6. Step 6: Final answer
    x = 1,183.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.