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Finding the Fourth Proportional to 1,383.07, 1,908.63 and 762.07

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Solution

The fourth proportional to 1,383.07, 1,908.63 and 762.07 is: 1,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.07 : 1,908.63 = 762.07 : x
  2. Step 2: Convert to fraction form
    1,383.07/1,908.63 = 762.07/x
  3. Step 3: Cross multiply
    1,383.07x = 1,908.63 × 762.07
  4. Step 4: Simplify right side
    1,383.07x = 1,454,509.66
  5. Step 5: Solve for x
    x = 1,454,509.66/1,383.07
  6. Step 6: Final answer
    x = 1,051.65

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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.