Home / 1,580.44-2,180.91-917.50

Finding the Fourth Proportional to 1,580.44, 2,180.91 and 917.50

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Solution

The fourth proportional to 1,580.44, 2,180.91 and 917.50 is: 1,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.44 : 2,180.91 = 917.50 : x
  2. Step 2: Convert to fraction form
    1,580.44/2,180.91 = 917.50/x
  3. Step 3: Cross multiply
    1,580.44x = 2,180.91 × 917.50
  4. Step 4: Simplify right side
    1,580.44x = 2,000,984.93
  5. Step 5: Solve for x
    x = 2,000,984.93/1,580.44
  6. Step 6: Final answer
    x = 1,266.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.