Home / 462-693.24-234

Finding the Fourth Proportional to 462, 693.24 and 234

Calculator

Solution

The fourth proportional to 462, 693.24 and 234 is: 351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 693.24 = 234 : x
  2. Step 2: Convert to fraction form
    462/693.24 = 234/x
  3. Step 3: Cross multiply
    462x = 693.24 × 234
  4. Step 4: Simplify right side
    462x = 162,218.16
  5. Step 5: Solve for x
    x = 162,218.16/462
  6. Step 6: Final answer
    x = 351.12

Related Problems

Find fourth proportional to 231, 346.62 and 117
Half scale
Find fourth proportional to 924, 1,386.48 and 468
Double scale
Find fourth proportional to 463, 694.74 and 235
Similar ratio
Find fourth proportional to 693, 1,039.86 and 351
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.