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Finding the Fourth Proportional to 1,313.04, 1,812.12 and 789.42

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Solution

The fourth proportional to 1,313.04, 1,812.12 and 789.42 is: 1,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.04 : 1,812.12 = 789.42 : x
  2. Step 2: Convert to fraction form
    1,313.04/1,812.12 = 789.42/x
  3. Step 3: Cross multiply
    1,313.04x = 1,812.12 × 789.42
  4. Step 4: Simplify right side
    1,313.04x = 1,430,523.77
  5. Step 5: Solve for x
    x = 1,430,523.77/1,313.04
  6. Step 6: Final answer
    x = 1,089.47

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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.