Home / 497.07-686.07-409.59

Finding the Fourth Proportional to 497.07, 686.07 and 409.59

Calculator

Solution

The fourth proportional to 497.07, 686.07 and 409.59 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 686.07 = 409.59 : x
  2. Step 2: Convert to fraction form
    497.07/686.07 = 409.59/x
  3. Step 3: Cross multiply
    497.07x = 686.07 × 409.59
  4. Step 4: Simplify right side
    497.07x = 281,007.41
  5. Step 5: Solve for x
    x = 281,007.41/497.07
  6. Step 6: Final answer
    x = 565.33

Related Problems

Find fourth proportional to 248.54, 343.04 and 204.80
Half scale
Find fourth proportional to 994.14, 1,372.14 and 819.18
Double scale
Find fourth proportional to 498.07, 687.45 and 410.59
Similar ratio
Find fourth proportional to 745.61, 1,029.11 and 614.39
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.