Home / 468.78-647.22-406.14

Finding the Fourth Proportional to 468.78, 647.22 and 406.14

Calculator

Solution

The fourth proportional to 468.78, 647.22 and 406.14 is: 560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 647.22 = 406.14 : x
  2. Step 2: Convert to fraction form
    468.78/647.22 = 406.14/x
  3. Step 3: Cross multiply
    468.78x = 647.22 × 406.14
  4. Step 4: Simplify right side
    468.78x = 262,861.93
  5. Step 5: Solve for x
    x = 262,861.93/468.78
  6. Step 6: Final answer
    x = 560.74

Related Problems

Find fourth proportional to 234.39, 323.61 and 203.07
Half scale
Find fourth proportional to 937.56, 1,294.44 and 812.28
Double scale
Find fourth proportional to 469.78, 648.60 and 407.14
Similar ratio
Find fourth proportional to 703.17, 970.83 and 609.21
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.