Home / 1,384.06-2,076.35-459.67

Finding the Fourth Proportional to 1,384.06, 2,076.35 and 459.67

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Solution

The fourth proportional to 1,384.06, 2,076.35 and 459.67 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.06 : 2,076.35 = 459.67 : x
  2. Step 2: Convert to fraction form
    1,384.06/2,076.35 = 459.67/x
  3. Step 3: Cross multiply
    1,384.06x = 2,076.35 × 459.67
  4. Step 4: Simplify right side
    1,384.06x = 954,435.80
  5. Step 5: Solve for x
    x = 954,435.80/1,384.06
  6. Step 6: Final answer
    x = 689.59

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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.