Home / 467.32-644.58-412

Finding the Fourth Proportional to 467.32, 644.58 and 412

Calculator

Solution

The fourth proportional to 467.32, 644.58 and 412 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.32 : 644.58 = 412 : x
  2. Step 2: Convert to fraction form
    467.32/644.58 = 412/x
  3. Step 3: Cross multiply
    467.32x = 644.58 × 412
  4. Step 4: Simplify right side
    467.32x = 265,566.96
  5. Step 5: Solve for x
    x = 265,566.96/467.32
  6. Step 6: Final answer
    x = 568.28

Related Problems

Find fourth proportional to 233.66, 322.29 and 206
Half scale
Find fourth proportional to 934.64, 1,289.16 and 824
Double scale
Find fourth proportional to 468.32, 645.96 and 413
Similar ratio
Find fourth proportional to 700.98, 966.87 and 618
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.