Home / 563.42-777.56-414.72

Finding the Fourth Proportional to 563.42, 777.56 and 414.72

Calculator

Solution

The fourth proportional to 563.42, 777.56 and 414.72 is: 572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.42 : 777.56 = 414.72 : x
  2. Step 2: Convert to fraction form
    563.42/777.56 = 414.72/x
  3. Step 3: Cross multiply
    563.42x = 777.56 × 414.72
  4. Step 4: Simplify right side
    563.42x = 322,472.89
  5. Step 5: Solve for x
    x = 322,472.89/563.42
  6. Step 6: Final answer
    x = 572.35

Related Problems

Find fourth proportional to 281.71, 388.78 and 207.36
Half scale
Find fourth proportional to 1,126.84, 1,555.12 and 829.45
Double scale
Find fourth proportional to 564.42, 778.94 and 415.72
Similar ratio
Find fourth proportional to 845.13, 1,166.34 and 622.08
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.