Home / 477.76-659.34-312.16

Finding the Fourth Proportional to 477.76, 659.34 and 312.16

Calculator

Solution

The fourth proportional to 477.76, 659.34 and 312.16 is: 430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 659.34 = 312.16 : x
  2. Step 2: Convert to fraction form
    477.76/659.34 = 312.16/x
  3. Step 3: Cross multiply
    477.76x = 659.34 × 312.16
  4. Step 4: Simplify right side
    477.76x = 205,819.57
  5. Step 5: Solve for x
    x = 205,819.57/477.76
  6. Step 6: Final answer
    x = 430.80

Related Problems

Find fourth proportional to 238.88, 329.67 and 156.08
Half scale
Find fourth proportional to 955.52, 1,318.68 and 624.32
Double scale
Find fourth proportional to 478.76, 660.72 and 313.16
Similar ratio
Find fourth proportional to 716.64, 989.01 and 468.24
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.