Home / 469.08-702.72-414

Finding the Fourth Proportional to 469.08, 702.72 and 414

Calculator

Solution

The fourth proportional to 469.08, 702.72 and 414 is: 620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 702.72 = 414 : x
  2. Step 2: Convert to fraction form
    469.08/702.72 = 414/x
  3. Step 3: Cross multiply
    469.08x = 702.72 × 414
  4. Step 4: Simplify right side
    469.08x = 290,926.08
  5. Step 5: Solve for x
    x = 290,926.08/469.08
  6. Step 6: Final answer
    x = 620.21

Related Problems

Find fourth proportional to 234.54, 351.36 and 207
Half scale
Find fourth proportional to 938.16, 1,405.44 and 828
Double scale
Find fourth proportional to 470.08, 704.22 and 415
Similar ratio
Find fourth proportional to 703.62, 1,054.08 and 621
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.