Home / 699-1,048.67-406.43

Finding the Fourth Proportional to 699, 1,048.67 and 406.43

Calculator

Solution

The fourth proportional to 699, 1,048.67 and 406.43 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 1,048.67 = 406.43 : x
  2. Step 2: Convert to fraction form
    699/1,048.67 = 406.43/x
  3. Step 3: Cross multiply
    699x = 1,048.67 × 406.43
  4. Step 4: Simplify right side
    699x = 426,210.95
  5. Step 5: Solve for x
    x = 426,210.95/699
  6. Step 6: Final answer
    x = 609.74

Related Problems

Find fourth proportional to 349.50, 524.34 and 203.22
Half scale
Find fourth proportional to 1,398, 2,097.34 and 812.86
Double scale
Find fourth proportional to 700, 1,050.17 and 407.43
Similar ratio
Find fourth proportional to 1,048.50, 1,573.01 and 609.65
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.