Home / 810.24-1,214.80-342

Finding the Fourth Proportional to 810.24, 1,214.80 and 342

Calculator

Solution

The fourth proportional to 810.24, 1,214.80 and 342 is: 512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.24 : 1,214.80 = 342 : x
  2. Step 2: Convert to fraction form
    810.24/1,214.80 = 342/x
  3. Step 3: Cross multiply
    810.24x = 1,214.80 × 342
  4. Step 4: Simplify right side
    810.24x = 415,461.60
  5. Step 5: Solve for x
    x = 415,461.60/810.24
  6. Step 6: Final answer
    x = 512.76

Related Problems

Find fourth proportional to 405.12, 607.40 and 171
Half scale
Find fourth proportional to 1,620.48, 2,429.60 and 684
Double scale
Find fourth proportional to 811.24, 1,216.30 and 343
Similar ratio
Find fourth proportional to 1,215.36, 1,822.20 and 513
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.