Home / 590.29-814.71-380.50

Finding the Fourth Proportional to 590.29, 814.71 and 380.50

Calculator

Solution

The fourth proportional to 590.29, 814.71 and 380.50 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 814.71 = 380.50 : x
  2. Step 2: Convert to fraction form
    590.29/814.71 = 380.50/x
  3. Step 3: Cross multiply
    590.29x = 814.71 × 380.50
  4. Step 4: Simplify right side
    590.29x = 309,997.16
  5. Step 5: Solve for x
    x = 309,997.16/590.29
  6. Step 6: Final answer
    x = 525.16

Related Problems

Find fourth proportional to 295.15, 407.36 and 190.25
Half scale
Find fourth proportional to 1,180.58, 1,629.42 and 761
Double scale
Find fourth proportional to 591.29, 816.09 and 381.50
Similar ratio
Find fourth proportional to 885.44, 1,222.07 and 570.75
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.