Home / 678.29-1,017.23-288.28

Finding the Fourth Proportional to 678.29, 1,017.23 and 288.28

Calculator

Solution

The fourth proportional to 678.29, 1,017.23 and 288.28 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.29 : 1,017.23 = 288.28 : x
  2. Step 2: Convert to fraction form
    678.29/1,017.23 = 288.28/x
  3. Step 3: Cross multiply
    678.29x = 1,017.23 × 288.28
  4. Step 4: Simplify right side
    678.29x = 293,247.06
  5. Step 5: Solve for x
    x = 293,247.06/678.29
  6. Step 6: Final answer
    x = 432.33

Related Problems

Find fourth proportional to 339.15, 508.62 and 144.14
Half scale
Find fourth proportional to 1,356.58, 2,034.46 and 576.56
Double scale
Find fourth proportional to 679.29, 1,018.73 and 289.28
Similar ratio
Find fourth proportional to 1,017.44, 1,525.85 and 432.42
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.