Home / 1,219.14-1,681.83-799.31

Finding the Fourth Proportional to 1,219.14, 1,681.83 and 799.31

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Solution

The fourth proportional to 1,219.14, 1,681.83 and 799.31 is: 1,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.14 : 1,681.83 = 799.31 : x
  2. Step 2: Convert to fraction form
    1,219.14/1,681.83 = 799.31/x
  3. Step 3: Cross multiply
    1,219.14x = 1,681.83 × 799.31
  4. Step 4: Simplify right side
    1,219.14x = 1,344,307.74
  5. Step 5: Solve for x
    x = 1,344,307.74/1,219.14
  6. Step 6: Final answer
    x = 1,102.67

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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.