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Finding the Fourth Proportional to 1,351.78, 1,865.34 and 784.72

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Solution

The fourth proportional to 1,351.78, 1,865.34 and 784.72 is: 1,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.78 : 1,865.34 = 784.72 : x
  2. Step 2: Convert to fraction form
    1,351.78/1,865.34 = 784.72/x
  3. Step 3: Cross multiply
    1,351.78x = 1,865.34 × 784.72
  4. Step 4: Simplify right side
    1,351.78x = 1,463,769.60
  5. Step 5: Solve for x
    x = 1,463,769.60/1,351.78
  6. Step 6: Final answer
    x = 1,082.85

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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.