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Finding the Fourth Proportional to 1,107.76, 1,529.56 and 1,024.80

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Solution

The fourth proportional to 1,107.76, 1,529.56 and 1,024.80 is: 1,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.76 : 1,529.56 = 1,024.80 : x
  2. Step 2: Convert to fraction form
    1,107.76/1,529.56 = 1,024.80/x
  3. Step 3: Cross multiply
    1,107.76x = 1,529.56 × 1,024.80
  4. Step 4: Simplify right side
    1,107.76x = 1,567,493.09
  5. Step 5: Solve for x
    x = 1,567,493.09/1,107.76
  6. Step 6: Final answer
    x = 1,415.01

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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.