Home / 770.86-1,155.16-458.20

Finding the Fourth Proportional to 770.86, 1,155.16 and 458.20

Calculator

Solution

The fourth proportional to 770.86, 1,155.16 and 458.20 is: 686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.86 : 1,155.16 = 458.20 : x
  2. Step 2: Convert to fraction form
    770.86/1,155.16 = 458.20/x
  3. Step 3: Cross multiply
    770.86x = 1,155.16 × 458.20
  4. Step 4: Simplify right side
    770.86x = 529,294.31
  5. Step 5: Solve for x
    x = 529,294.31/770.86
  6. Step 6: Final answer
    x = 686.63

Related Problems

Find fourth proportional to 385.43, 577.58 and 229.10
Half scale
Find fourth proportional to 1,541.72, 2,310.32 and 916.40
Double scale
Find fourth proportional to 771.86, 1,156.66 and 459.20
Similar ratio
Find fourth proportional to 1,156.29, 1,732.74 and 687.30
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.