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Finding the Fourth Proportional to 2,390.33, 3,584.52 and 746.36

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Solution

The fourth proportional to 2,390.33, 3,584.52 and 746.36 is: 1,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.33 : 3,584.52 = 746.36 : x
  2. Step 2: Convert to fraction form
    2,390.33/3,584.52 = 746.36/x
  3. Step 3: Cross multiply
    2,390.33x = 3,584.52 × 746.36
  4. Step 4: Simplify right side
    2,390.33x = 2,675,342.35
  5. Step 5: Solve for x
    x = 2,675,342.35/2,390.33
  6. Step 6: Final answer
    x = 1,119.24

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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.