Home / 725.46-1,001.09-410.77

Finding the Fourth Proportional to 725.46, 1,001.09 and 410.77

Calculator

Solution

The fourth proportional to 725.46, 1,001.09 and 410.77 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.46 : 1,001.09 = 410.77 : x
  2. Step 2: Convert to fraction form
    725.46/1,001.09 = 410.77/x
  3. Step 3: Cross multiply
    725.46x = 1,001.09 × 410.77
  4. Step 4: Simplify right side
    725.46x = 411,220.02
  5. Step 5: Solve for x
    x = 411,220.02/725.46
  6. Step 6: Final answer
    x = 566.84

Related Problems

Find fourth proportional to 362.73, 500.55 and 205.39
Half scale
Find fourth proportional to 1,450.91, 2,002.19 and 821.54
Double scale
Find fourth proportional to 726.46, 1,002.47 and 411.77
Similar ratio
Find fourth proportional to 1,088.18, 1,501.64 and 616.16
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.