Home / 765.22-1,056-433.66

Finding the Fourth Proportional to 765.22, 1,056 and 433.66

Calculator

Solution

The fourth proportional to 765.22, 1,056 and 433.66 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.22 : 1,056 = 433.66 : x
  2. Step 2: Convert to fraction form
    765.22/1,056 = 433.66/x
  3. Step 3: Cross multiply
    765.22x = 1,056 × 433.66
  4. Step 4: Simplify right side
    765.22x = 457,944.96
  5. Step 5: Solve for x
    x = 457,944.96/765.22
  6. Step 6: Final answer
    x = 598.45

Related Problems

Find fourth proportional to 382.61, 528 and 216.83
Half scale
Find fourth proportional to 1,530.44, 2,112 and 867.32
Double scale
Find fourth proportional to 766.22, 1,057.38 and 434.66
Similar ratio
Find fourth proportional to 1,147.83, 1,584 and 650.49
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.