Home / 647.84-972.16-257.78

Finding the Fourth Proportional to 647.84, 972.16 and 257.78

Calculator

Solution

The fourth proportional to 647.84, 972.16 and 257.78 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 972.16 = 257.78 : x
  2. Step 2: Convert to fraction form
    647.84/972.16 = 257.78/x
  3. Step 3: Cross multiply
    647.84x = 972.16 × 257.78
  4. Step 4: Simplify right side
    647.84x = 250,603.40
  5. Step 5: Solve for x
    x = 250,603.40/647.84
  6. Step 6: Final answer
    x = 386.83

Related Problems

Find fourth proportional to 323.92, 486.08 and 128.89
Half scale
Find fourth proportional to 1,295.68, 1,944.32 and 515.56
Double scale
Find fourth proportional to 648.84, 973.66 and 258.78
Similar ratio
Find fourth proportional to 971.76, 1,458.24 and 386.67
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.