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Finding the Fourth Proportional to 1,394.51, 1,924.34 and 764.96

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Solution

The fourth proportional to 1,394.51, 1,924.34 and 764.96 is: 1,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.51 : 1,924.34 = 764.96 : x
  2. Step 2: Convert to fraction form
    1,394.51/1,924.34 = 764.96/x
  3. Step 3: Cross multiply
    1,394.51x = 1,924.34 × 764.96
  4. Step 4: Simplify right side
    1,394.51x = 1,472,029.68
  5. Step 5: Solve for x
    x = 1,472,029.68/1,394.51
  6. Step 6: Final answer
    x = 1,055.59

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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.