Home / 712-1,068.32-465.12

Finding the Fourth Proportional to 712, 1,068.32 and 465.12

Calculator

Solution

The fourth proportional to 712, 1,068.32 and 465.12 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 1,068.32 = 465.12 : x
  2. Step 2: Convert to fraction form
    712/1,068.32 = 465.12/x
  3. Step 3: Cross multiply
    712x = 1,068.32 × 465.12
  4. Step 4: Simplify right side
    712x = 496,897.00
  5. Step 5: Solve for x
    x = 496,897.00/712
  6. Step 6: Final answer
    x = 697.89

Related Problems

Find fourth proportional to 356, 534.16 and 232.56
Half scale
Find fourth proportional to 1,424, 2,136.64 and 930.24
Double scale
Find fourth proportional to 713, 1,069.82 and 466.12
Similar ratio
Find fourth proportional to 1,068, 1,602.48 and 697.68
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.