Home / 976.72-1,464.80-456.56

Finding the Fourth Proportional to 976.72, 1,464.80 and 456.56

Calculator

Solution

The fourth proportional to 976.72, 1,464.80 and 456.56 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.72 : 1,464.80 = 456.56 : x
  2. Step 2: Convert to fraction form
    976.72/1,464.80 = 456.56/x
  3. Step 3: Cross multiply
    976.72x = 1,464.80 × 456.56
  4. Step 4: Simplify right side
    976.72x = 668,769.09
  5. Step 5: Solve for x
    x = 668,769.09/976.72
  6. Step 6: Final answer
    x = 684.71

Related Problems

Find fourth proportional to 488.36, 732.40 and 228.28
Half scale
Find fourth proportional to 1,953.44, 2,929.60 and 913.12
Double scale
Find fourth proportional to 977.72, 1,466.30 and 457.56
Similar ratio
Find fourth proportional to 1,465.08, 2,197.20 and 684.84
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.