Home / 1,022.14-1,409.95-579.72

Finding the Fourth Proportional to 1,022.14, 1,409.95 and 579.72

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Solution

The fourth proportional to 1,022.14, 1,409.95 and 579.72 is: 799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.14 : 1,409.95 = 579.72 : x
  2. Step 2: Convert to fraction form
    1,022.14/1,409.95 = 579.72/x
  3. Step 3: Cross multiply
    1,022.14x = 1,409.95 × 579.72
  4. Step 4: Simplify right side
    1,022.14x = 817,376.21
  5. Step 5: Solve for x
    x = 817,376.21/1,022.14
  6. Step 6: Final answer
    x = 799.67

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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.