Home / 1,299.16-1,946.80-649

Finding the Fourth Proportional to 1,299.16, 1,946.80 and 649

Calculator

Solution

The fourth proportional to 1,299.16, 1,946.80 and 649 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.16 : 1,946.80 = 649 : x
  2. Step 2: Convert to fraction form
    1,299.16/1,946.80 = 649/x
  3. Step 3: Cross multiply
    1,299.16x = 1,946.80 × 649
  4. Step 4: Simplify right side
    1,299.16x = 1,263,473.20
  5. Step 5: Solve for x
    x = 1,263,473.20/1,299.16
  6. Step 6: Final answer
    x = 972.53

Related Problems

Find fourth proportional to 649.58, 973.40 and 324.50
Half scale
Find fourth proportional to 2,598.32, 3,893.60 and 1,298
Double scale
Find fourth proportional to 1,300.16, 1,948.30 and 650
Similar ratio
Find fourth proportional to 1,948.74, 2,920.20 and 973.50
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.