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Finding the Fourth Proportional to 1,138.90, 1,571.10 and 765.88

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Solution

The fourth proportional to 1,138.90, 1,571.10 and 765.88 is: 1,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.90 : 1,571.10 = 765.88 : x
  2. Step 2: Convert to fraction form
    1,138.90/1,571.10 = 765.88/x
  3. Step 3: Cross multiply
    1,138.90x = 1,571.10 × 765.88
  4. Step 4: Simplify right side
    1,138.90x = 1,203,274.07
  5. Step 5: Solve for x
    x = 1,203,274.07/1,138.90
  6. Step 6: Final answer
    x = 1,056.52

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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.