Home / 1,415.14-2,123.93-685.23

Finding the Fourth Proportional to 1,415.14, 2,123.93 and 685.23

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Solution

The fourth proportional to 1,415.14, 2,123.93 and 685.23 is: 1,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 2,123.93 = 685.23 : x
  2. Step 2: Convert to fraction form
    1,415.14/2,123.93 = 685.23/x
  3. Step 3: Cross multiply
    1,415.14x = 2,123.93 × 685.23
  4. Step 4: Simplify right side
    1,415.14x = 1,455,380.55
  5. Step 5: Solve for x
    x = 1,455,380.55/1,415.14
  6. Step 6: Final answer
    x = 1,028.44

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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.