Home / 428.77-643.17-154.90

Finding the Fourth Proportional to 428.77, 643.17 and 154.90

Calculator

Solution

The fourth proportional to 428.77, 643.17 and 154.90 is: 232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.77 : 643.17 = 154.90 : x
  2. Step 2: Convert to fraction form
    428.77/643.17 = 154.90/x
  3. Step 3: Cross multiply
    428.77x = 643.17 × 154.90
  4. Step 4: Simplify right side
    428.77x = 99,627.03
  5. Step 5: Solve for x
    x = 99,627.03/428.77
  6. Step 6: Final answer
    x = 232.36

Related Problems

Find fourth proportional to 214.39, 321.59 and 77.45
Half scale
Find fourth proportional to 857.54, 1,286.34 and 309.80
Double scale
Find fourth proportional to 429.77, 644.67 and 155.90
Similar ratio
Find fourth proportional to 643.16, 964.76 and 232.35
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.