Home / 689.77-1,032.06-411.10

Finding the Fourth Proportional to 689.77, 1,032.06 and 411.10

Calculator

Solution

The fourth proportional to 689.77, 1,032.06 and 411.10 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,032.06 = 411.10 : x
  2. Step 2: Convert to fraction form
    689.77/1,032.06 = 411.10/x
  3. Step 3: Cross multiply
    689.77x = 1,032.06 × 411.10
  4. Step 4: Simplify right side
    689.77x = 424,279.87
  5. Step 5: Solve for x
    x = 424,279.87/689.77
  6. Step 6: Final answer
    x = 615.10

Related Problems

Find fourth proportional to 344.89, 516.03 and 205.55
Half scale
Find fourth proportional to 1,379.54, 2,064.12 and 822.20
Double scale
Find fourth proportional to 690.77, 1,033.56 and 412.10
Similar ratio
Find fourth proportional to 1,034.66, 1,548.09 and 616.65
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.