Home / 1,584.09-2,376.45-610.20

Finding the Fourth Proportional to 1,584.09, 2,376.45 and 610.20

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Solution

The fourth proportional to 1,584.09, 2,376.45 and 610.20 is: 915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.09 : 2,376.45 = 610.20 : x
  2. Step 2: Convert to fraction form
    1,584.09/2,376.45 = 610.20/x
  3. Step 3: Cross multiply
    1,584.09x = 2,376.45 × 610.20
  4. Step 4: Simplify right side
    1,584.09x = 1,450,109.79
  5. Step 5: Solve for x
    x = 1,450,109.79/1,584.09
  6. Step 6: Final answer
    x = 915.42

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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.