Home / 505-697.50-407.44

Finding the Fourth Proportional to 505, 697.50 and 407.44

Calculator

Solution

The fourth proportional to 505, 697.50 and 407.44 is: 562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 697.50 = 407.44 : x
  2. Step 2: Convert to fraction form
    505/697.50 = 407.44/x
  3. Step 3: Cross multiply
    505x = 697.50 × 407.44
  4. Step 4: Simplify right side
    505x = 284,189.40
  5. Step 5: Solve for x
    x = 284,189.40/505
  6. Step 6: Final answer
    x = 562.75

Related Problems

Find fourth proportional to 252.50, 348.75 and 203.72
Half scale
Find fourth proportional to 1,010, 1,395 and 814.88
Double scale
Find fourth proportional to 506, 698.88 and 408.44
Similar ratio
Find fourth proportional to 757.50, 1,046.25 and 611.16
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.