Home / 692.12-1,038.29-205.12

Finding the Fourth Proportional to 692.12, 1,038.29 and 205.12

Calculator

Solution

The fourth proportional to 692.12, 1,038.29 and 205.12 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 1,038.29 = 205.12 : x
  2. Step 2: Convert to fraction form
    692.12/1,038.29 = 205.12/x
  3. Step 3: Cross multiply
    692.12x = 1,038.29 × 205.12
  4. Step 4: Simplify right side
    692.12x = 212,967.83
  5. Step 5: Solve for x
    x = 212,967.83/692.12
  6. Step 6: Final answer
    x = 307.70

Related Problems

Find fourth proportional to 346.06, 519.14 and 102.56
Half scale
Find fourth proportional to 1,384.24, 2,076.57 and 410.23
Double scale
Find fourth proportional to 693.12, 1,039.79 and 206.12
Similar ratio
Find fourth proportional to 1,038.18, 1,557.43 and 307.67
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.