Home / 464.32-693.10-409.65

Finding the Fourth Proportional to 464.32, 693.10 and 409.65

Calculator

Solution

The fourth proportional to 464.32, 693.10 and 409.65 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 693.10 = 409.65 : x
  2. Step 2: Convert to fraction form
    464.32/693.10 = 409.65/x
  3. Step 3: Cross multiply
    464.32x = 693.10 × 409.65
  4. Step 4: Simplify right side
    464.32x = 283,928.42
  5. Step 5: Solve for x
    x = 283,928.42/464.32
  6. Step 6: Final answer
    x = 611.49

Related Problems

Find fourth proportional to 232.16, 346.55 and 204.83
Half scale
Find fourth proportional to 928.64, 1,386.20 and 819.30
Double scale
Find fourth proportional to 465.32, 694.59 and 410.65
Similar ratio
Find fourth proportional to 696.48, 1,039.65 and 614.48
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.