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Finding the Fourth Proportional to 1,141.70, 1,713.81 and 818.51

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Solution

The fourth proportional to 1,141.70, 1,713.81 and 818.51 is: 1,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.70 : 1,713.81 = 818.51 : x
  2. Step 2: Convert to fraction form
    1,141.70/1,713.81 = 818.51/x
  3. Step 3: Cross multiply
    1,141.70x = 1,713.81 × 818.51
  4. Step 4: Simplify right side
    1,141.70x = 1,402,770.62
  5. Step 5: Solve for x
    x = 1,402,770.62/1,141.70
  6. Step 6: Final answer
    x = 1,228.67

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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.