Home / 490.78-678.35-431.32

Finding the Fourth Proportional to 490.78, 678.35 and 431.32

Calculator

Solution

The fourth proportional to 490.78, 678.35 and 431.32 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.78 : 678.35 = 431.32 : x
  2. Step 2: Convert to fraction form
    490.78/678.35 = 431.32/x
  3. Step 3: Cross multiply
    490.78x = 678.35 × 431.32
  4. Step 4: Simplify right side
    490.78x = 292,584.89
  5. Step 5: Solve for x
    x = 292,584.89/490.78
  6. Step 6: Final answer
    x = 596.17

Related Problems

Find fourth proportional to 245.39, 339.17 and 215.66
Half scale
Find fourth proportional to 981.56, 1,356.70 and 862.64
Double scale
Find fourth proportional to 491.78, 679.73 and 432.32
Similar ratio
Find fourth proportional to 736.17, 1,017.52 and 646.98
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.