Home / 678.13-1,017.50-524.02

Finding the Fourth Proportional to 678.13, 1,017.50 and 524.02

Calculator

Solution

The fourth proportional to 678.13, 1,017.50 and 524.02 is: 786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.13 : 1,017.50 = 524.02 : x
  2. Step 2: Convert to fraction form
    678.13/1,017.50 = 524.02/x
  3. Step 3: Cross multiply
    678.13x = 1,017.50 × 524.02
  4. Step 4: Simplify right side
    678.13x = 533,190.35
  5. Step 5: Solve for x
    x = 533,190.35/678.13
  6. Step 6: Final answer
    x = 786.27

Related Problems

Find fourth proportional to 339.07, 508.75 and 262.01
Half scale
Find fourth proportional to 1,356.26, 2,035 and 1,048.04
Double scale
Find fourth proportional to 679.13, 1,019 and 525.02
Similar ratio
Find fourth proportional to 1,017.20, 1,526.25 and 786.03
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.