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Finding the Fourth Proportional to 1,580.56, 2,180.91 and 917.29

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Solution

The fourth proportional to 1,580.56, 2,180.91 and 917.29 is: 1,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.56 : 2,180.91 = 917.29 : x
  2. Step 2: Convert to fraction form
    1,580.56/2,180.91 = 917.29/x
  3. Step 3: Cross multiply
    1,580.56x = 2,180.91 × 917.29
  4. Step 4: Simplify right side
    1,580.56x = 2,000,526.93
  5. Step 5: Solve for x
    x = 2,000,526.93/1,580.56
  6. Step 6: Final answer
    x = 1,265.71

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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.