Home / 1,584.80-2,377.40-611.58

Finding the Fourth Proportional to 1,584.80, 2,377.40 and 611.58

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Solution

The fourth proportional to 1,584.80, 2,377.40 and 611.58 is: 917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.80 : 2,377.40 = 611.58 : x
  2. Step 2: Convert to fraction form
    1,584.80/2,377.40 = 611.58/x
  3. Step 3: Cross multiply
    1,584.80x = 2,377.40 × 611.58
  4. Step 4: Simplify right side
    1,584.80x = 1,453,970.29
  5. Step 5: Solve for x
    x = 1,453,970.29/1,584.80
  6. Step 6: Final answer
    x = 917.45

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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.