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Finding the Fourth Proportional to 1,383.08, 1,908.58 and 761.96

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Solution

The fourth proportional to 1,383.08, 1,908.58 and 761.96 is: 1,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.08 : 1,908.58 = 761.96 : x
  2. Step 2: Convert to fraction form
    1,383.08/1,908.58 = 761.96/x
  3. Step 3: Cross multiply
    1,383.08x = 1,908.58 × 761.96
  4. Step 4: Simplify right side
    1,383.08x = 1,454,261.62
  5. Step 5: Solve for x
    x = 1,454,261.62/1,383.08
  6. Step 6: Final answer
    x = 1,051.47

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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.