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Finding the Fourth Proportional to 1,357.05, 1,872.75 and 767.61

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Solution

The fourth proportional to 1,357.05, 1,872.75 and 767.61 is: 1,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.05 : 1,872.75 = 767.61 : x
  2. Step 2: Convert to fraction form
    1,357.05/1,872.75 = 767.61/x
  3. Step 3: Cross multiply
    1,357.05x = 1,872.75 × 767.61
  4. Step 4: Simplify right side
    1,357.05x = 1,437,541.63
  5. Step 5: Solve for x
    x = 1,437,541.63/1,357.05
  6. Step 6: Final answer
    x = 1,059.31

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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.