Home / 563.63-776.97-416

Finding the Fourth Proportional to 563.63, 776.97 and 416

Calculator

Solution

The fourth proportional to 563.63, 776.97 and 416 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 776.97 = 416 : x
  2. Step 2: Convert to fraction form
    563.63/776.97 = 416/x
  3. Step 3: Cross multiply
    563.63x = 776.97 × 416
  4. Step 4: Simplify right side
    563.63x = 323,219.52
  5. Step 5: Solve for x
    x = 323,219.52/563.63
  6. Step 6: Final answer
    x = 573.46

Related Problems

Find fourth proportional to 281.82, 388.49 and 208
Half scale
Find fourth proportional to 1,127.26, 1,553.94 and 832
Double scale
Find fourth proportional to 564.63, 778.35 and 417
Similar ratio
Find fourth proportional to 845.45, 1,165.46 and 624
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.