Home / 906.78-1,359.08-419.16

Finding the Fourth Proportional to 906.78, 1,359.08 and 419.16

Calculator

Solution

The fourth proportional to 906.78, 1,359.08 and 419.16 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.78 : 1,359.08 = 419.16 : x
  2. Step 2: Convert to fraction form
    906.78/1,359.08 = 419.16/x
  3. Step 3: Cross multiply
    906.78x = 1,359.08 × 419.16
  4. Step 4: Simplify right side
    906.78x = 569,671.97
  5. Step 5: Solve for x
    x = 569,671.97/906.78
  6. Step 6: Final answer
    x = 628.24

Related Problems

Find fourth proportional to 453.39, 679.54 and 209.58
Half scale
Find fourth proportional to 1,813.56, 2,718.16 and 838.32
Double scale
Find fourth proportional to 907.78, 1,360.58 and 420.16
Similar ratio
Find fourth proportional to 1,360.17, 2,038.62 and 628.74
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.