Home / 602.12-830.64-415.86

Finding the Fourth Proportional to 602.12, 830.64 and 415.86

Calculator

Solution

The fourth proportional to 602.12, 830.64 and 415.86 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.12 : 830.64 = 415.86 : x
  2. Step 2: Convert to fraction form
    602.12/830.64 = 415.86/x
  3. Step 3: Cross multiply
    602.12x = 830.64 × 415.86
  4. Step 4: Simplify right side
    602.12x = 345,429.95
  5. Step 5: Solve for x
    x = 345,429.95/602.12
  6. Step 6: Final answer
    x = 573.69

Related Problems

Find fourth proportional to 301.06, 415.32 and 207.93
Half scale
Find fourth proportional to 1,204.24, 1,661.28 and 831.72
Double scale
Find fourth proportional to 603.12, 832.02 and 416.86
Similar ratio
Find fourth proportional to 903.18, 1,245.96 and 623.79
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.