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Finding the Fourth Proportional to 1,313.31, 1,811.60 and 847.56

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Solution

The fourth proportional to 1,313.31, 1,811.60 and 847.56 is: 1,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.31 : 1,811.60 = 847.56 : x
  2. Step 2: Convert to fraction form
    1,313.31/1,811.60 = 847.56/x
  3. Step 3: Cross multiply
    1,313.31x = 1,811.60 × 847.56
  4. Step 4: Simplify right side
    1,313.31x = 1,535,439.70
  5. Step 5: Solve for x
    x = 1,535,439.70/1,313.31
  6. Step 6: Final answer
    x = 1,169.14

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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.