Home / 784-1,082.01-473.50

Finding the Fourth Proportional to 784, 1,082.01 and 473.50

Calculator

Solution

The fourth proportional to 784, 1,082.01 and 473.50 is: 653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,082.01 = 473.50 : x
  2. Step 2: Convert to fraction form
    784/1,082.01 = 473.50/x
  3. Step 3: Cross multiply
    784x = 1,082.01 × 473.50
  4. Step 4: Simplify right side
    784x = 512,331.74
  5. Step 5: Solve for x
    x = 512,331.74/784
  6. Step 6: Final answer
    x = 653.48

Related Problems

Find fourth proportional to 392, 541.01 and 236.75
Half scale
Find fourth proportional to 1,568, 2,164.02 and 947
Double scale
Find fourth proportional to 785, 1,083.39 and 474.50
Similar ratio
Find fourth proportional to 1,176, 1,623.02 and 710.25
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.