Home / 965.49-1,332.38-523.40

Finding the Fourth Proportional to 965.49, 1,332.38 and 523.40

Calculator

Solution

The fourth proportional to 965.49, 1,332.38 and 523.40 is: 722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.49 : 1,332.38 = 523.40 : x
  2. Step 2: Convert to fraction form
    965.49/1,332.38 = 523.40/x
  3. Step 3: Cross multiply
    965.49x = 1,332.38 × 523.40
  4. Step 4: Simplify right side
    965.49x = 697,362.34
  5. Step 5: Solve for x
    x = 697,362.34/965.49
  6. Step 6: Final answer
    x = 722.29

Related Problems

Find fourth proportional to 482.74, 666.19 and 261.70
Half scale
Find fourth proportional to 1,930.97, 2,664.77 and 1,046.79
Double scale
Find fourth proportional to 966.49, 1,333.76 and 524.40
Similar ratio
Find fourth proportional to 1,448.23, 1,998.57 and 785.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.