Home / 1,021-1,409.30-653

Finding the Fourth Proportional to 1,021, 1,409.30 and 653

Calculator

Solution

The fourth proportional to 1,021, 1,409.30 and 653 is: 901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021 : 1,409.30 = 653 : x
  2. Step 2: Convert to fraction form
    1,021/1,409.30 = 653/x
  3. Step 3: Cross multiply
    1,021x = 1,409.30 × 653
  4. Step 4: Simplify right side
    1,021x = 920,272.90
  5. Step 5: Solve for x
    x = 920,272.90/1,021
  6. Step 6: Final answer
    x = 901.34

Related Problems

Find fourth proportional to 510.50, 704.65 and 326.50
Half scale
Find fourth proportional to 2,042, 2,818.60 and 1,306
Double scale
Find fourth proportional to 1,022, 1,410.68 and 654
Similar ratio
Find fourth proportional to 1,531.50, 2,113.95 and 979.50
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.