Home / 691.48-1,036.90-431.08

Finding the Fourth Proportional to 691.48, 1,036.90 and 431.08

Calculator

Solution

The fourth proportional to 691.48, 1,036.90 and 431.08 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.48 : 1,036.90 = 431.08 : x
  2. Step 2: Convert to fraction form
    691.48/1,036.90 = 431.08/x
  3. Step 3: Cross multiply
    691.48x = 1,036.90 × 431.08
  4. Step 4: Simplify right side
    691.48x = 446,986.85
  5. Step 5: Solve for x
    x = 446,986.85/691.48
  6. Step 6: Final answer
    x = 646.42

Related Problems

Find fourth proportional to 345.74, 518.45 and 215.54
Half scale
Find fourth proportional to 1,382.96, 2,073.80 and 862.16
Double scale
Find fourth proportional to 692.48, 1,038.40 and 432.08
Similar ratio
Find fourth proportional to 1,037.22, 1,555.35 and 646.62
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.