Home / 460.02-689.70-313.78

Finding the Fourth Proportional to 460.02, 689.70 and 313.78

Calculator

Solution

The fourth proportional to 460.02, 689.70 and 313.78 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 689.70 = 313.78 : x
  2. Step 2: Convert to fraction form
    460.02/689.70 = 313.78/x
  3. Step 3: Cross multiply
    460.02x = 689.70 × 313.78
  4. Step 4: Simplify right side
    460.02x = 216,413.52
  5. Step 5: Solve for x
    x = 216,413.52/460.02
  6. Step 6: Final answer
    x = 470.45

Related Problems

Find fourth proportional to 230.01, 344.85 and 156.89
Half scale
Find fourth proportional to 920.03, 1,379.41 and 627.56
Double scale
Find fourth proportional to 461.02, 691.20 and 314.78
Similar ratio
Find fourth proportional to 690.02, 1,034.56 and 470.67
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.