Home / 1,584.87-2,377.70-611.04

Finding the Fourth Proportional to 1,584.87, 2,377.70 and 611.04

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Solution

The fourth proportional to 1,584.87, 2,377.70 and 611.04 is: 916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.87 : 2,377.70 = 611.04 : x
  2. Step 2: Convert to fraction form
    1,584.87/2,377.70 = 611.04/x
  3. Step 3: Cross multiply
    1,584.87x = 2,377.70 × 611.04
  4. Step 4: Simplify right side
    1,584.87x = 1,452,869.81
  5. Step 5: Solve for x
    x = 1,452,869.81/1,584.87
  6. Step 6: Final answer
    x = 916.71

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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.