Home / 1,513.57-2,270.50-589.20

Finding the Fourth Proportional to 1,513.57, 2,270.50 and 589.20

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Solution

The fourth proportional to 1,513.57, 2,270.50 and 589.20 is: 883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.57 : 2,270.50 = 589.20 : x
  2. Step 2: Convert to fraction form
    1,513.57/2,270.50 = 589.20/x
  3. Step 3: Cross multiply
    1,513.57x = 2,270.50 × 589.20
  4. Step 4: Simplify right side
    1,513.57x = 1,337,778.60
  5. Step 5: Solve for x
    x = 1,337,778.60/1,513.57
  6. Step 6: Final answer
    x = 883.86

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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.