Home / 465.84-642.59-410.71

Finding the Fourth Proportional to 465.84, 642.59 and 410.71

Calculator

Solution

The fourth proportional to 465.84, 642.59 and 410.71 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 642.59 = 410.71 : x
  2. Step 2: Convert to fraction form
    465.84/642.59 = 410.71/x
  3. Step 3: Cross multiply
    465.84x = 642.59 × 410.71
  4. Step 4: Simplify right side
    465.84x = 263,918.14
  5. Step 5: Solve for x
    x = 263,918.14/465.84
  6. Step 6: Final answer
    x = 566.54

Related Problems

Find fourth proportional to 232.92, 321.30 and 205.36
Half scale
Find fourth proportional to 931.68, 1,285.18 and 821.42
Double scale
Find fourth proportional to 466.84, 643.97 and 411.71
Similar ratio
Find fourth proportional to 698.76, 963.89 and 616.07
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.