Home / 1,415.14-2,121.63-683.98

Finding the Fourth Proportional to 1,415.14, 2,121.63 and 683.98

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Solution

The fourth proportional to 1,415.14, 2,121.63 and 683.98 is: 1,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 2,121.63 = 683.98 : x
  2. Step 2: Convert to fraction form
    1,415.14/2,121.63 = 683.98/x
  3. Step 3: Cross multiply
    1,415.14x = 2,121.63 × 683.98
  4. Step 4: Simplify right side
    1,415.14x = 1,451,152.49
  5. Step 5: Solve for x
    x = 1,451,152.49/1,415.14
  6. Step 6: Final answer
    x = 1,025.45

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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.