Home / 472.65-706-464

Finding the Fourth Proportional to 472.65, 706 and 464

Calculator

Solution

The fourth proportional to 472.65, 706 and 464 is: 693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.65 : 706 = 464 : x
  2. Step 2: Convert to fraction form
    472.65/706 = 464/x
  3. Step 3: Cross multiply
    472.65x = 706 × 464
  4. Step 4: Simplify right side
    472.65x = 327,584
  5. Step 5: Solve for x
    x = 327,584/472.65
  6. Step 6: Final answer
    x = 693.08

Related Problems

Find fourth proportional to 236.33, 353 and 232
Half scale
Find fourth proportional to 945.30, 1,412 and 928
Double scale
Find fourth proportional to 473.65, 707.49 and 465
Similar ratio
Find fourth proportional to 708.98, 1,059 and 696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.