Home / 1,406.57-2,110.25-584.42

Finding the Fourth Proportional to 1,406.57, 2,110.25 and 584.42

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Solution

The fourth proportional to 1,406.57, 2,110.25 and 584.42 is: 876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.57 : 2,110.25 = 584.42 : x
  2. Step 2: Convert to fraction form
    1,406.57/2,110.25 = 584.42/x
  3. Step 3: Cross multiply
    1,406.57x = 2,110.25 × 584.42
  4. Step 4: Simplify right side
    1,406.57x = 1,233,263.21
  5. Step 5: Solve for x
    x = 1,233,263.21/1,406.57
  6. Step 6: Final answer
    x = 876.79

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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.