Home / 589.90-813.02-522

Finding the Fourth Proportional to 589.90, 813.02 and 522

Calculator

Solution

The fourth proportional to 589.90, 813.02 and 522 is: 719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.90 : 813.02 = 522 : x
  2. Step 2: Convert to fraction form
    589.90/813.02 = 522/x
  3. Step 3: Cross multiply
    589.90x = 813.02 × 522
  4. Step 4: Simplify right side
    589.90x = 424,396.44
  5. Step 5: Solve for x
    x = 424,396.44/589.90
  6. Step 6: Final answer
    x = 719.44

Related Problems

Find fourth proportional to 294.95, 406.51 and 261
Half scale
Find fourth proportional to 1,179.80, 1,626.04 and 1,044
Double scale
Find fourth proportional to 590.90, 814.40 and 523
Similar ratio
Find fourth proportional to 884.85, 1,219.53 and 783
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.