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Finding the Fourth Proportional to 1,354.11, 1,868.76 and 764.66

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Solution

The fourth proportional to 1,354.11, 1,868.76 and 764.66 is: 1,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.11 : 1,868.76 = 764.66 : x
  2. Step 2: Convert to fraction form
    1,354.11/1,868.76 = 764.66/x
  3. Step 3: Cross multiply
    1,354.11x = 1,868.76 × 764.66
  4. Step 4: Simplify right side
    1,354.11x = 1,428,956.68
  5. Step 5: Solve for x
    x = 1,428,956.68/1,354.11
  6. Step 6: Final answer
    x = 1,055.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.