Home / 1,406.42-2,108.07-584.26

Finding the Fourth Proportional to 1,406.42, 2,108.07 and 584.26

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Solution

The fourth proportional to 1,406.42, 2,108.07 and 584.26 is: 875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.42 : 2,108.07 = 584.26 : x
  2. Step 2: Convert to fraction form
    1,406.42/2,108.07 = 584.26/x
  3. Step 3: Cross multiply
    1,406.42x = 2,108.07 × 584.26
  4. Step 4: Simplify right side
    1,406.42x = 1,231,660.98
  5. Step 5: Solve for x
    x = 1,231,660.98/1,406.42
  6. Step 6: Final answer
    x = 875.74

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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.