Home / 1,615.72-2,422.14-589.48

Finding the Fourth Proportional to 1,615.72, 2,422.14 and 589.48

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Solution

The fourth proportional to 1,615.72, 2,422.14 and 589.48 is: 883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.72 : 2,422.14 = 589.48 : x
  2. Step 2: Convert to fraction form
    1,615.72/2,422.14 = 589.48/x
  3. Step 3: Cross multiply
    1,615.72x = 2,422.14 × 589.48
  4. Step 4: Simplify right side
    1,615.72x = 1,427,803.09
  5. Step 5: Solve for x
    x = 1,427,803.09/1,615.72
  6. Step 6: Final answer
    x = 883.69

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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.