Home / 652.31-978.57-213.66

Finding the Fourth Proportional to 652.31, 978.57 and 213.66

Calculator

Solution

The fourth proportional to 652.31, 978.57 and 213.66 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.31 : 978.57 = 213.66 : x
  2. Step 2: Convert to fraction form
    652.31/978.57 = 213.66/x
  3. Step 3: Cross multiply
    652.31x = 978.57 × 213.66
  4. Step 4: Simplify right side
    652.31x = 209,081.27
  5. Step 5: Solve for x
    x = 209,081.27/652.31
  6. Step 6: Final answer
    x = 320.53

Related Problems

Find fourth proportional to 326.15, 489.29 and 106.83
Half scale
Find fourth proportional to 1,304.61, 1,957.14 and 427.32
Double scale
Find fourth proportional to 653.31, 980.07 and 214.66
Similar ratio
Find fourth proportional to 978.46, 1,467.86 and 320.49
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.