Home / 1,584.38-2,376.36-414.47

Finding the Fourth Proportional to 1,584.38, 2,376.36 and 414.47

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Solution

The fourth proportional to 1,584.38, 2,376.36 and 414.47 is: 621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.38 : 2,376.36 = 414.47 : x
  2. Step 2: Convert to fraction form
    1,584.38/2,376.36 = 414.47/x
  3. Step 3: Cross multiply
    1,584.38x = 2,376.36 × 414.47
  4. Step 4: Simplify right side
    1,584.38x = 984,935.87
  5. Step 5: Solve for x
    x = 984,935.87/1,584.38
  6. Step 6: Final answer
    x = 621.65

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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.