Home / 1,043.02-1,564.83-523

Finding the Fourth Proportional to 1,043.02, 1,564.83 and 523

Calculator

Solution

The fourth proportional to 1,043.02, 1,564.83 and 523 is: 784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.02 : 1,564.83 = 523 : x
  2. Step 2: Convert to fraction form
    1,043.02/1,564.83 = 523/x
  3. Step 3: Cross multiply
    1,043.02x = 1,564.83 × 523
  4. Step 4: Simplify right side
    1,043.02x = 818,406.09
  5. Step 5: Solve for x
    x = 818,406.09/1,043.02
  6. Step 6: Final answer
    x = 784.65

Related Problems

Find fourth proportional to 521.51, 782.42 and 261.50
Half scale
Find fourth proportional to 2,086.04, 3,129.66 and 1,046
Double scale
Find fourth proportional to 1,044.02, 1,566.33 and 524
Similar ratio
Find fourth proportional to 1,564.53, 2,347.25 and 784.50
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.