Home / 524.43-786.50-313.22

Finding the Fourth Proportional to 524.43, 786.50 and 313.22

Calculator

Solution

The fourth proportional to 524.43, 786.50 and 313.22 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.43 : 786.50 = 313.22 : x
  2. Step 2: Convert to fraction form
    524.43/786.50 = 313.22/x
  3. Step 3: Cross multiply
    524.43x = 786.50 × 313.22
  4. Step 4: Simplify right side
    524.43x = 246,347.53
  5. Step 5: Solve for x
    x = 246,347.53/524.43
  6. Step 6: Final answer
    x = 469.74

Related Problems

Find fourth proportional to 262.22, 393.25 and 156.61
Half scale
Find fourth proportional to 1,048.86, 1,573 and 626.44
Double scale
Find fourth proportional to 525.43, 788 and 314.22
Similar ratio
Find fourth proportional to 786.65, 1,179.75 and 469.83
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.