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Finding the Fourth Proportional to 1,138.64, 1,571.08 and 765.08

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Solution

The fourth proportional to 1,138.64, 1,571.08 and 765.08 is: 1,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.64 : 1,571.08 = 765.08 : x
  2. Step 2: Convert to fraction form
    1,138.64/1,571.08 = 765.08/x
  3. Step 3: Cross multiply
    1,138.64x = 1,571.08 × 765.08
  4. Step 4: Simplify right side
    1,138.64x = 1,202,001.89
  5. Step 5: Solve for x
    x = 1,202,001.89/1,138.64
  6. Step 6: Final answer
    x = 1,055.65

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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.