Home / 475.20-712.80-470.40

Finding the Fourth Proportional to 475.20, 712.80 and 470.40

Calculator

Solution

The fourth proportional to 475.20, 712.80 and 470.40 is: 705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 712.80 = 470.40 : x
  2. Step 2: Convert to fraction form
    475.20/712.80 = 470.40/x
  3. Step 3: Cross multiply
    475.20x = 712.80 × 470.40
  4. Step 4: Simplify right side
    475.20x = 335,301.12
  5. Step 5: Solve for x
    x = 335,301.12/475.20
  6. Step 6: Final answer
    x = 705.60

Related Problems

Find fourth proportional to 237.60, 356.40 and 235.20
Half scale
Find fourth proportional to 950.40, 1,425.60 and 940.80
Double scale
Find fourth proportional to 476.20, 714.30 and 471.40
Similar ratio
Find fourth proportional to 712.80, 1,069.20 and 705.60
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.