Home / 543.40-812-412.68

Finding the Fourth Proportional to 543.40, 812 and 412.68

Calculator

Solution

The fourth proportional to 543.40, 812 and 412.68 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 812 = 412.68 : x
  2. Step 2: Convert to fraction form
    543.40/812 = 412.68/x
  3. Step 3: Cross multiply
    543.40x = 812 × 412.68
  4. Step 4: Simplify right side
    543.40x = 335,096.16
  5. Step 5: Solve for x
    x = 335,096.16/543.40
  6. Step 6: Final answer
    x = 616.67

Related Problems

Find fourth proportional to 271.70, 406 and 206.34
Half scale
Find fourth proportional to 1,086.80, 1,624 and 825.36
Double scale
Find fourth proportional to 544.40, 813.49 and 413.68
Similar ratio
Find fourth proportional to 815.10, 1,218 and 619.02
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.