Home / 923.57-1,385.31-821.78

Finding the Fourth Proportional to 923.57, 1,385.31 and 821.78

Calculator

Solution

The fourth proportional to 923.57, 1,385.31 and 821.78 is: 1,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.57 : 1,385.31 = 821.78 : x
  2. Step 2: Convert to fraction form
    923.57/1,385.31 = 821.78/x
  3. Step 3: Cross multiply
    923.57x = 1,385.31 × 821.78
  4. Step 4: Simplify right side
    923.57x = 1,138,420.05
  5. Step 5: Solve for x
    x = 1,138,420.05/923.57
  6. Step 6: Final answer
    x = 1,232.63

Related Problems

Find fourth proportional to 461.79, 692.66 and 410.89
Half scale
Find fourth proportional to 1,847.14, 2,770.62 and 1,643.56
Double scale
Find fourth proportional to 924.57, 1,386.81 and 822.78
Similar ratio
Find fourth proportional to 1,385.36, 2,077.97 and 1,232.67
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.