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Finding the Fourth Proportional to 1,382.68, 1,908.12 and 761.68

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Solution

The fourth proportional to 1,382.68, 1,908.12 and 761.68 is: 1,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.68 : 1,908.12 = 761.68 : x
  2. Step 2: Convert to fraction form
    1,382.68/1,908.12 = 761.68/x
  3. Step 3: Cross multiply
    1,382.68x = 1,908.12 × 761.68
  4. Step 4: Simplify right side
    1,382.68x = 1,453,376.84
  5. Step 5: Solve for x
    x = 1,453,376.84/1,382.68
  6. Step 6: Final answer
    x = 1,051.13

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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.