Home / 1,406.28-2,110-584.72

Finding the Fourth Proportional to 1,406.28, 2,110 and 584.72

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Solution

The fourth proportional to 1,406.28, 2,110 and 584.72 is: 877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.28 : 2,110 = 584.72 : x
  2. Step 2: Convert to fraction form
    1,406.28/2,110 = 584.72/x
  3. Step 3: Cross multiply
    1,406.28x = 2,110 × 584.72
  4. Step 4: Simplify right side
    1,406.28x = 1,233,759.20
  5. Step 5: Solve for x
    x = 1,233,759.20/1,406.28
  6. Step 6: Final answer
    x = 877.32

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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.