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Finding the Fourth Proportional to 1,340.77, 1,849.93 and 751.09

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Solution

The fourth proportional to 1,340.77, 1,849.93 and 751.09 is: 1,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.77 : 1,849.93 = 751.09 : x
  2. Step 2: Convert to fraction form
    1,340.77/1,849.93 = 751.09/x
  3. Step 3: Cross multiply
    1,340.77x = 1,849.93 × 751.09
  4. Step 4: Simplify right side
    1,340.77x = 1,389,463.92
  5. Step 5: Solve for x
    x = 1,389,463.92/1,340.77
  6. Step 6: Final answer
    x = 1,036.32

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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.