Home / 784.59-1,082.24-597.75

Finding the Fourth Proportional to 784.59, 1,082.24 and 597.75

Calculator

Solution

The fourth proportional to 784.59, 1,082.24 and 597.75 is: 824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.59 : 1,082.24 = 597.75 : x
  2. Step 2: Convert to fraction form
    784.59/1,082.24 = 597.75/x
  3. Step 3: Cross multiply
    784.59x = 1,082.24 × 597.75
  4. Step 4: Simplify right side
    784.59x = 646,908.96
  5. Step 5: Solve for x
    x = 646,908.96/784.59
  6. Step 6: Final answer
    x = 824.52

Related Problems

Find fourth proportional to 392.30, 541.12 and 298.88
Half scale
Find fourth proportional to 1,569.18, 2,164.48 and 1,195.50
Double scale
Find fourth proportional to 785.59, 1,083.62 and 598.75
Similar ratio
Find fourth proportional to 1,176.89, 1,623.36 and 896.63
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.