Home / 1,106.50-1,658.84-457.70

Finding the Fourth Proportional to 1,106.50, 1,658.84 and 457.70

Calculator

Solution

The fourth proportional to 1,106.50, 1,658.84 and 457.70 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.50 : 1,658.84 = 457.70 : x
  2. Step 2: Convert to fraction form
    1,106.50/1,658.84 = 457.70/x
  3. Step 3: Cross multiply
    1,106.50x = 1,658.84 × 457.70
  4. Step 4: Simplify right side
    1,106.50x = 759,251.07
  5. Step 5: Solve for x
    x = 759,251.07/1,106.50
  6. Step 6: Final answer
    x = 686.17

Related Problems

Find fourth proportional to 553.25, 829.42 and 228.85
Half scale
Find fourth proportional to 2,213, 3,317.68 and 915.40
Double scale
Find fourth proportional to 1,107.50, 1,660.34 and 458.70
Similar ratio
Find fourth proportional to 1,659.75, 2,488.26 and 686.55
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.