Home / 1,415.14-2,122.84-440.98

Finding the Fourth Proportional to 1,415.14, 2,122.84 and 440.98

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Solution

The fourth proportional to 1,415.14, 2,122.84 and 440.98 is: 661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 2,122.84 = 440.98 : x
  2. Step 2: Convert to fraction form
    1,415.14/2,122.84 = 440.98/x
  3. Step 3: Cross multiply
    1,415.14x = 2,122.84 × 440.98
  4. Step 4: Simplify right side
    1,415.14x = 936,129.98
  5. Step 5: Solve for x
    x = 936,129.98/1,415.14
  6. Step 6: Final answer
    x = 661.51

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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.