Home / 473.60-710.40-419.20

Finding the Fourth Proportional to 473.60, 710.40 and 419.20

Calculator

Solution

The fourth proportional to 473.60, 710.40 and 419.20 is: 628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 710.40 = 419.20 : x
  2. Step 2: Convert to fraction form
    473.60/710.40 = 419.20/x
  3. Step 3: Cross multiply
    473.60x = 710.40 × 419.20
  4. Step 4: Simplify right side
    473.60x = 297,799.68
  5. Step 5: Solve for x
    x = 297,799.68/473.60
  6. Step 6: Final answer
    x = 628.80

Related Problems

Find fourth proportional to 236.80, 355.20 and 209.60
Half scale
Find fourth proportional to 947.20, 1,420.80 and 838.40
Double scale
Find fourth proportional to 474.60, 711.90 and 420.20
Similar ratio
Find fourth proportional to 710.40, 1,065.60 and 628.80
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.