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Finding the Fourth Proportional to 1,393.88, 1,923.48 and 764.40

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Solution

The fourth proportional to 1,393.88, 1,923.48 and 764.40 is: 1,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.88 : 1,923.48 = 764.40 : x
  2. Step 2: Convert to fraction form
    1,393.88/1,923.48 = 764.40/x
  3. Step 3: Cross multiply
    1,393.88x = 1,923.48 × 764.40
  4. Step 4: Simplify right side
    1,393.88x = 1,470,308.11
  5. Step 5: Solve for x
    x = 1,470,308.11/1,393.88
  6. Step 6: Final answer
    x = 1,054.83

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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.