Home / 565.40-780.22-316.72

Finding the Fourth Proportional to 565.40, 780.22 and 316.72

Calculator

Solution

The fourth proportional to 565.40, 780.22 and 316.72 is: 437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 780.22 = 316.72 : x
  2. Step 2: Convert to fraction form
    565.40/780.22 = 316.72/x
  3. Step 3: Cross multiply
    565.40x = 780.22 × 316.72
  4. Step 4: Simplify right side
    565.40x = 247,107.58
  5. Step 5: Solve for x
    x = 247,107.58/565.40
  6. Step 6: Final answer
    x = 437.05

Related Problems

Find fourth proportional to 282.70, 390.11 and 158.36
Half scale
Find fourth proportional to 1,130.80, 1,560.43 and 633.43
Double scale
Find fourth proportional to 566.40, 781.60 and 317.72
Similar ratio
Find fourth proportional to 848.10, 1,170.32 and 475.08
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.