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Finding the Fourth Proportional to 1,357.09, 1,872.72 and 767.65

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Solution

The fourth proportional to 1,357.09, 1,872.72 and 767.65 is: 1,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.09 : 1,872.72 = 767.65 : x
  2. Step 2: Convert to fraction form
    1,357.09/1,872.72 = 767.65/x
  3. Step 3: Cross multiply
    1,357.09x = 1,872.72 × 767.65
  4. Step 4: Simplify right side
    1,357.09x = 1,437,593.51
  5. Step 5: Solve for x
    x = 1,437,593.51/1,357.09
  6. Step 6: Final answer
    x = 1,059.32

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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.