Home / 782.13-1,173.26-205

Finding the Fourth Proportional to 782.13, 1,173.26 and 205

Calculator

Solution

The fourth proportional to 782.13, 1,173.26 and 205 is: 307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,173.26 = 205 : x
  2. Step 2: Convert to fraction form
    782.13/1,173.26 = 205/x
  3. Step 3: Cross multiply
    782.13x = 1,173.26 × 205
  4. Step 4: Simplify right side
    782.13x = 240,518.30
  5. Step 5: Solve for x
    x = 240,518.30/782.13
  6. Step 6: Final answer
    x = 307.52

Related Problems

Find fourth proportional to 391.07, 586.63 and 102.50
Half scale
Find fourth proportional to 1,564.26, 2,346.52 and 410
Double scale
Find fourth proportional to 783.13, 1,174.76 and 206
Similar ratio
Find fourth proportional to 1,173.20, 1,759.89 and 307.50
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.