Home / 688.41-1,033.29-512.91

Finding the Fourth Proportional to 688.41, 1,033.29 and 512.91

Calculator

Solution

The fourth proportional to 688.41, 1,033.29 and 512.91 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 1,033.29 = 512.91 : x
  2. Step 2: Convert to fraction form
    688.41/1,033.29 = 512.91/x
  3. Step 3: Cross multiply
    688.41x = 1,033.29 × 512.91
  4. Step 4: Simplify right side
    688.41x = 529,984.77
  5. Step 5: Solve for x
    x = 529,984.77/688.41
  6. Step 6: Final answer
    x = 769.87

Related Problems

Find fourth proportional to 344.21, 516.65 and 256.46
Half scale
Find fourth proportional to 1,376.82, 2,066.58 and 1,025.82
Double scale
Find fourth proportional to 689.41, 1,034.79 and 513.91
Similar ratio
Find fourth proportional to 1,032.62, 1,549.94 and 769.37
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.