Home / 1,286.55-1,929.69-464.67

Finding the Fourth Proportional to 1,286.55, 1,929.69 and 464.67

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Solution

The fourth proportional to 1,286.55, 1,929.69 and 464.67 is: 696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.55 : 1,929.69 = 464.67 : x
  2. Step 2: Convert to fraction form
    1,286.55/1,929.69 = 464.67/x
  3. Step 3: Cross multiply
    1,286.55x = 1,929.69 × 464.67
  4. Step 4: Simplify right side
    1,286.55x = 896,669.05
  5. Step 5: Solve for x
    x = 896,669.05/1,286.55
  6. Step 6: Final answer
    x = 696.96

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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.