Home / 946.61-1,420.22-459.60

Finding the Fourth Proportional to 946.61, 1,420.22 and 459.60

Calculator

Solution

The fourth proportional to 946.61, 1,420.22 and 459.60 is: 689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.61 : 1,420.22 = 459.60 : x
  2. Step 2: Convert to fraction form
    946.61/1,420.22 = 459.60/x
  3. Step 3: Cross multiply
    946.61x = 1,420.22 × 459.60
  4. Step 4: Simplify right side
    946.61x = 652,733.11
  5. Step 5: Solve for x
    x = 652,733.11/946.61
  6. Step 6: Final answer
    x = 689.55

Related Problems

Find fourth proportional to 473.31, 710.11 and 229.80
Half scale
Find fourth proportional to 1,893.22, 2,840.44 and 919.20
Double scale
Find fourth proportional to 947.61, 1,421.72 and 460.60
Similar ratio
Find fourth proportional to 1,419.92, 2,130.33 and 689.40
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.