Home / 1,580.69-2,371.40-485.04

Finding the Fourth Proportional to 1,580.69, 2,371.40 and 485.04

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Solution

The fourth proportional to 1,580.69, 2,371.40 and 485.04 is: 727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.69 : 2,371.40 = 485.04 : x
  2. Step 2: Convert to fraction form
    1,580.69/2,371.40 = 485.04/x
  3. Step 3: Cross multiply
    1,580.69x = 2,371.40 × 485.04
  4. Step 4: Simplify right side
    1,580.69x = 1,150,223.86
  5. Step 5: Solve for x
    x = 1,150,223.86/1,580.69
  6. Step 6: Final answer
    x = 727.67

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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.