Home / 1,407-2,109.06-585.75

Finding the Fourth Proportional to 1,407, 2,109.06 and 585.75

Calculator

Solution

The fourth proportional to 1,407, 2,109.06 and 585.75 is: 878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407 : 2,109.06 = 585.75 : x
  2. Step 2: Convert to fraction form
    1,407/2,109.06 = 585.75/x
  3. Step 3: Cross multiply
    1,407x = 2,109.06 × 585.75
  4. Step 4: Simplify right side
    1,407x = 1,235,381.90
  5. Step 5: Solve for x
    x = 1,235,381.90/1,407
  6. Step 6: Final answer
    x = 878.03

Related Problems

Find fourth proportional to 703.50, 1,054.53 and 292.88
Half scale
Find fourth proportional to 2,814, 4,218.12 and 1,171.50
Double scale
Find fourth proportional to 1,408, 2,110.56 and 586.75
Similar ratio
Find fourth proportional to 2,110.50, 3,163.59 and 878.63
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.