Home / 821.76-1,233.09-437

Finding the Fourth Proportional to 821.76, 1,233.09 and 437

Calculator

Solution

The fourth proportional to 821.76, 1,233.09 and 437 is: 655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,233.09 = 437 : x
  2. Step 2: Convert to fraction form
    821.76/1,233.09 = 437/x
  3. Step 3: Cross multiply
    821.76x = 1,233.09 × 437
  4. Step 4: Simplify right side
    821.76x = 538,860.33
  5. Step 5: Solve for x
    x = 538,860.33/821.76
  6. Step 6: Final answer
    x = 655.74

Related Problems

Find fourth proportional to 410.88, 616.55 and 218.50
Half scale
Find fourth proportional to 1,643.52, 2,466.18 and 874
Double scale
Find fourth proportional to 822.76, 1,234.59 and 438
Similar ratio
Find fourth proportional to 1,232.64, 1,849.64 and 655.50
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.