Home / 768-1,152.16-312

Finding the Fourth Proportional to 768, 1,152.16 and 312

Calculator

Solution

The fourth proportional to 768, 1,152.16 and 312 is: 468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,152.16 = 312 : x
  2. Step 2: Convert to fraction form
    768/1,152.16 = 312/x
  3. Step 3: Cross multiply
    768x = 1,152.16 × 312
  4. Step 4: Simplify right side
    768x = 359,473.92
  5. Step 5: Solve for x
    x = 359,473.92/768
  6. Step 6: Final answer
    x = 468.07

Related Problems

Find fourth proportional to 384, 576.08 and 156
Half scale
Find fourth proportional to 1,536, 2,304.32 and 624
Double scale
Find fourth proportional to 769, 1,153.66 and 313
Similar ratio
Find fourth proportional to 1,152, 1,728.24 and 468
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.