Home / 697.75-1,046.58-286.78

Finding the Fourth Proportional to 697.75, 1,046.58 and 286.78

Calculator

Solution

The fourth proportional to 697.75, 1,046.58 and 286.78 is: 430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.75 : 1,046.58 = 286.78 : x
  2. Step 2: Convert to fraction form
    697.75/1,046.58 = 286.78/x
  3. Step 3: Cross multiply
    697.75x = 1,046.58 × 286.78
  4. Step 4: Simplify right side
    697.75x = 300,138.21
  5. Step 5: Solve for x
    x = 300,138.21/697.75
  6. Step 6: Final answer
    x = 430.15

Related Problems

Find fourth proportional to 348.88, 523.29 and 143.39
Half scale
Find fourth proportional to 1,395.50, 2,093.16 and 573.56
Double scale
Find fourth proportional to 698.75, 1,048.08 and 287.78
Similar ratio
Find fourth proportional to 1,046.63, 1,569.87 and 430.17
1.5x scale

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.