Home / 1,580.22-2,180.70-917.46

Finding the Fourth Proportional to 1,580.22, 2,180.70 and 917.46

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Solution

The fourth proportional to 1,580.22, 2,180.70 and 917.46 is: 1,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.22 : 2,180.70 = 917.46 : x
  2. Step 2: Convert to fraction form
    1,580.22/2,180.70 = 917.46/x
  3. Step 3: Cross multiply
    1,580.22x = 2,180.70 × 917.46
  4. Step 4: Simplify right side
    1,580.22x = 2,000,705.02
  5. Step 5: Solve for x
    x = 2,000,705.02/1,580.22
  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.