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Finding the Fourth Proportional to 1,351.44, 2,026.34 and 528.73

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Solution

The fourth proportional to 1,351.44, 2,026.34 and 528.73 is: 792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.44 : 2,026.34 = 528.73 : x
  2. Step 2: Convert to fraction form
    1,351.44/2,026.34 = 528.73/x
  3. Step 3: Cross multiply
    1,351.44x = 2,026.34 × 528.73
  4. Step 4: Simplify right side
    1,351.44x = 1,071,381.02
  5. Step 5: Solve for x
    x = 1,071,381.02/1,351.44
  6. Step 6: Final answer
    x = 792.77

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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.