Home / 1,313.25-1,812.30-789.18

Finding the Fourth Proportional to 1,313.25, 1,812.30 and 789.18

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Solution

The fourth proportional to 1,313.25, 1,812.30 and 789.18 is: 1,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.25 : 1,812.30 = 789.18 : x
  2. Step 2: Convert to fraction form
    1,313.25/1,812.30 = 789.18/x
  3. Step 3: Cross multiply
    1,313.25x = 1,812.30 × 789.18
  4. Step 4: Simplify right side
    1,313.25x = 1,430,230.91
  5. Step 5: Solve for x
    x = 1,430,230.91/1,313.25
  6. Step 6: Final answer
    x = 1,089.08

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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.