Home / 710.82-1,065.31-299.39

Finding the Fourth Proportional to 710.82, 1,065.31 and 299.39

Calculator

Solution

The fourth proportional to 710.82, 1,065.31 and 299.39 is: 448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 1,065.31 = 299.39 : x
  2. Step 2: Convert to fraction form
    710.82/1,065.31 = 299.39/x
  3. Step 3: Cross multiply
    710.82x = 1,065.31 × 299.39
  4. Step 4: Simplify right side
    710.82x = 318,937.09
  5. Step 5: Solve for x
    x = 318,937.09/710.82
  6. Step 6: Final answer
    x = 448.69

Related Problems

Find fourth proportional to 355.41, 532.65 and 149.69
Half scale
Find fourth proportional to 1,421.64, 2,130.62 and 598.77
Double scale
Find fourth proportional to 711.82, 1,066.81 and 300.39
Similar ratio
Find fourth proportional to 1,066.23, 1,597.96 and 449.08
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.