Home / 433.81-650.72-312.31

Finding the Fourth Proportional to 433.81, 650.72 and 312.31

Calculator

Solution

The fourth proportional to 433.81, 650.72 and 312.31 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.81 : 650.72 = 312.31 : x
  2. Step 2: Convert to fraction form
    433.81/650.72 = 312.31/x
  3. Step 3: Cross multiply
    433.81x = 650.72 × 312.31
  4. Step 4: Simplify right side
    433.81x = 203,226.36
  5. Step 5: Solve for x
    x = 203,226.36/433.81
  6. Step 6: Final answer
    x = 468.47

Related Problems

Find fourth proportional to 216.91, 325.36 and 156.16
Half scale
Find fourth proportional to 867.62, 1,301.44 and 624.62
Double scale
Find fourth proportional to 434.81, 652.22 and 313.31
Similar ratio
Find fourth proportional to 650.72, 976.08 and 468.47
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.