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Finding the Fourth Proportional to 1,419.32, 2,131.14 and 555.32

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Solution

The fourth proportional to 1,419.32, 2,131.14 and 555.32 is: 833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.32 : 2,131.14 = 555.32 : x
  2. Step 2: Convert to fraction form
    1,419.32/2,131.14 = 555.32/x
  3. Step 3: Cross multiply
    1,419.32x = 2,131.14 × 555.32
  4. Step 4: Simplify right side
    1,419.32x = 1,183,464.66
  5. Step 5: Solve for x
    x = 1,183,464.66/1,419.32
  6. Step 6: Final answer
    x = 833.83

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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.