Home / 1,419.15-2,125.64-687.19

Finding the Fourth Proportional to 1,419.15, 2,125.64 and 687.19

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Solution

The fourth proportional to 1,419.15, 2,125.64 and 687.19 is: 1,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.15 : 2,125.64 = 687.19 : x
  2. Step 2: Convert to fraction form
    1,419.15/2,125.64 = 687.19/x
  3. Step 3: Cross multiply
    1,419.15x = 2,125.64 × 687.19
  4. Step 4: Simplify right side
    1,419.15x = 1,460,714.96
  5. Step 5: Solve for x
    x = 1,460,714.96/1,419.15
  6. Step 6: Final answer
    x = 1,029.29

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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.