Home / 977.77-1,466-457.49

Finding the Fourth Proportional to 977.77, 1,466 and 457.49

Calculator

Solution

The fourth proportional to 977.77, 1,466 and 457.49 is: 685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.77 : 1,466 = 457.49 : x
  2. Step 2: Convert to fraction form
    977.77/1,466 = 457.49/x
  3. Step 3: Cross multiply
    977.77x = 1,466 × 457.49
  4. Step 4: Simplify right side
    977.77x = 670,680.34
  5. Step 5: Solve for x
    x = 670,680.34/977.77
  6. Step 6: Final answer
    x = 685.93

Related Problems

Find fourth proportional to 488.88, 733 and 228.75
Half scale
Find fourth proportional to 1,955.53, 2,932 and 914.98
Double scale
Find fourth proportional to 978.77, 1,467.50 and 458.49
Similar ratio
Find fourth proportional to 1,466.65, 2,199 and 686.24
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.