Home / 469-647.22-313.80

Finding the Fourth Proportional to 469, 647.22 and 313.80

Calculator

Solution

The fourth proportional to 469, 647.22 and 313.80 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 647.22 = 313.80 : x
  2. Step 2: Convert to fraction form
    469/647.22 = 313.80/x
  3. Step 3: Cross multiply
    469x = 647.22 × 313.80
  4. Step 4: Simplify right side
    469x = 203,097.64
  5. Step 5: Solve for x
    x = 203,097.64/469
  6. Step 6: Final answer
    x = 433.04

Related Problems

Find fourth proportional to 234.50, 323.61 and 156.90
Half scale
Find fourth proportional to 938, 1,294.44 and 627.60
Double scale
Find fourth proportional to 470, 648.60 and 314.80
Similar ratio
Find fourth proportional to 703.50, 970.83 and 470.70
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.