Home / 769.40-1,153.74-282.32

Finding the Fourth Proportional to 769.40, 1,153.74 and 282.32

Calculator

Solution

The fourth proportional to 769.40, 1,153.74 and 282.32 is: 423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.40 : 1,153.74 = 282.32 : x
  2. Step 2: Convert to fraction form
    769.40/1,153.74 = 282.32/x
  3. Step 3: Cross multiply
    769.40x = 1,153.74 × 282.32
  4. Step 4: Simplify right side
    769.40x = 325,723.88
  5. Step 5: Solve for x
    x = 325,723.88/769.40
  6. Step 6: Final answer
    x = 423.35

Related Problems

Find fourth proportional to 384.70, 576.87 and 141.16
Half scale
Find fourth proportional to 1,538.80, 2,307.48 and 564.64
Double scale
Find fourth proportional to 770.40, 1,155.24 and 283.32
Similar ratio
Find fourth proportional to 1,154.10, 1,730.61 and 423.48
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.