Home / 462.09-689.71-407.42

Finding the Fourth Proportional to 462.09, 689.71 and 407.42

Calculator

Solution

The fourth proportional to 462.09, 689.71 and 407.42 is: 608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.09 : 689.71 = 407.42 : x
  2. Step 2: Convert to fraction form
    462.09/689.71 = 407.42/x
  3. Step 3: Cross multiply
    462.09x = 689.71 × 407.42
  4. Step 4: Simplify right side
    462.09x = 280,997.18
  5. Step 5: Solve for x
    x = 280,997.18/462.09
  6. Step 6: Final answer
    x = 608.10

Related Problems

Find fourth proportional to 231.05, 344.85 and 203.71
Half scale
Find fourth proportional to 924.18, 1,379.42 and 814.83
Double scale
Find fourth proportional to 463.09, 691.20 and 408.42
Similar ratio
Find fourth proportional to 693.14, 1,034.56 and 611.12
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.