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Finding the Fourth Proportional to 1,107.78, 1,529.12 and 688.45

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Solution

The fourth proportional to 1,107.78, 1,529.12 and 688.45 is: 950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.78 : 1,529.12 = 688.45 : x
  2. Step 2: Convert to fraction form
    1,107.78/1,529.12 = 688.45/x
  3. Step 3: Cross multiply
    1,107.78x = 1,529.12 × 688.45
  4. Step 4: Simplify right side
    1,107.78x = 1,052,722.66
  5. Step 5: Solve for x
    x = 1,052,722.66/1,107.78
  6. Step 6: Final answer
    x = 950.30

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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.