Home / 688.67-1,031.99-469.02

Finding the Fourth Proportional to 688.67, 1,031.99 and 469.02

Calculator

Solution

The fourth proportional to 688.67, 1,031.99 and 469.02 is: 702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.67 : 1,031.99 = 469.02 : x
  2. Step 2: Convert to fraction form
    688.67/1,031.99 = 469.02/x
  3. Step 3: Cross multiply
    688.67x = 1,031.99 × 469.02
  4. Step 4: Simplify right side
    688.67x = 484,021.60
  5. Step 5: Solve for x
    x = 484,021.60/688.67
  6. Step 6: Final answer
    x = 702.84

Related Problems

Find fourth proportional to 344.33, 515.99 and 234.51
Half scale
Find fourth proportional to 1,377.33, 2,063.97 and 938.04
Double scale
Find fourth proportional to 689.67, 1,033.48 and 470.02
Similar ratio
Find fourth proportional to 1,033.00, 1,547.98 and 703.53
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.