Home / 690.30-1,035.78-459.30

Finding the Fourth Proportional to 690.30, 1,035.78 and 459.30

Calculator

Solution

The fourth proportional to 690.30, 1,035.78 and 459.30 is: 689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.30 : 1,035.78 = 459.30 : x
  2. Step 2: Convert to fraction form
    690.30/1,035.78 = 459.30/x
  3. Step 3: Cross multiply
    690.30x = 1,035.78 × 459.30
  4. Step 4: Simplify right side
    690.30x = 475,733.75
  5. Step 5: Solve for x
    x = 475,733.75/690.30
  6. Step 6: Final answer
    x = 689.17

Related Problems

Find fourth proportional to 345.15, 517.89 and 229.65
Half scale
Find fourth proportional to 1,380.60, 2,071.56 and 918.60
Double scale
Find fourth proportional to 691.30, 1,037.28 and 460.30
Similar ratio
Find fourth proportional to 1,035.45, 1,553.67 and 688.95
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.