Home / 997.32-1,496.67-412.85

Finding the Fourth Proportional to 997.32, 1,496.67 and 412.85

Calculator

Solution

The fourth proportional to 997.32, 1,496.67 and 412.85 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.32 : 1,496.67 = 412.85 : x
  2. Step 2: Convert to fraction form
    997.32/1,496.67 = 412.85/x
  3. Step 3: Cross multiply
    997.32x = 1,496.67 × 412.85
  4. Step 4: Simplify right side
    997.32x = 617,900.21
  5. Step 5: Solve for x
    x = 617,900.21/997.32
  6. Step 6: Final answer
    x = 619.56

Related Problems

Find fourth proportional to 498.66, 748.34 and 206.43
Half scale
Find fourth proportional to 1,994.64, 2,993.34 and 825.70
Double scale
Find fourth proportional to 998.32, 1,498.17 and 413.85
Similar ratio
Find fourth proportional to 1,495.98, 2,245.01 and 619.28
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.