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Finding the Fourth Proportional to 1,415.54, 2,121.42 and 683.66

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Solution

The fourth proportional to 1,415.54, 2,121.42 and 683.66 is: 1,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.54 : 2,121.42 = 683.66 : x
  2. Step 2: Convert to fraction form
    1,415.54/2,121.42 = 683.66/x
  3. Step 3: Cross multiply
    1,415.54x = 2,121.42 × 683.66
  4. Step 4: Simplify right side
    1,415.54x = 1,450,330.00
  5. Step 5: Solve for x
    x = 1,450,330.00/1,415.54
  6. Step 6: Final answer
    x = 1,024.58

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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.