Home / 1,409.18-2,111.34-677.76

Finding the Fourth Proportional to 1,409.18, 2,111.34 and 677.76

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Solution

The fourth proportional to 1,409.18, 2,111.34 and 677.76 is: 1,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.18 : 2,111.34 = 677.76 : x
  2. Step 2: Convert to fraction form
    1,409.18/2,111.34 = 677.76/x
  3. Step 3: Cross multiply
    1,409.18x = 2,111.34 × 677.76
  4. Step 4: Simplify right side
    1,409.18x = 1,430,981.80
  5. Step 5: Solve for x
    x = 1,430,981.80/1,409.18
  6. Step 6: Final answer
    x = 1,015.47

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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.