Home / 1,464.32-2,195.40-684.56

Finding the Fourth Proportional to 1,464.32, 2,195.40 and 684.56

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Solution

The fourth proportional to 1,464.32, 2,195.40 and 684.56 is: 1,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.32 : 2,195.40 = 684.56 : x
  2. Step 2: Convert to fraction form
    1,464.32/2,195.40 = 684.56/x
  3. Step 3: Cross multiply
    1,464.32x = 2,195.40 × 684.56
  4. Step 4: Simplify right side
    1,464.32x = 1,502,883.02
  5. Step 5: Solve for x
    x = 1,502,883.02/1,464.32
  6. Step 6: Final answer
    x = 1,026.34

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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.