Home / 1,580.40-2,181.33-917.73

Finding the Fourth Proportional to 1,580.40, 2,181.33 and 917.73

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Solution

The fourth proportional to 1,580.40, 2,181.33 and 917.73 is: 1,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.40 : 2,181.33 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,580.40/2,181.33 = 917.73/x
  3. Step 3: Cross multiply
    1,580.40x = 2,181.33 × 917.73
  4. Step 4: Simplify right side
    1,580.40x = 2,001,871.98
  5. Step 5: Solve for x
    x = 2,001,871.98/1,580.40
  6. Step 6: Final answer
    x = 1,266.69

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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.