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Finding the Fourth Proportional to 1,570.73, 2,356.92 and 748.85

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Solution

The fourth proportional to 1,570.73, 2,356.92 and 748.85 is: 1,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.73 : 2,356.92 = 748.85 : x
  2. Step 2: Convert to fraction form
    1,570.73/2,356.92 = 748.85/x
  3. Step 3: Cross multiply
    1,570.73x = 2,356.92 × 748.85
  4. Step 4: Simplify right side
    1,570.73x = 1,764,979.54
  5. Step 5: Solve for x
    x = 1,764,979.54/1,570.73
  6. Step 6: Final answer
    x = 1,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.