Home / 1,500-2,250-588

Finding the Fourth Proportional to 1,500, 2,250 and 588

Calculator

Solution

The fourth proportional to 1,500, 2,250 and 588 is: 882

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500 : 2,250 = 588 : x
  2. Step 2: Convert to fraction form
    1,500/2,250 = 588/x
  3. Step 3: Cross multiply
    1,500x = 2,250 × 588
  4. Step 4: Simplify right side
    1,500x = 1,323,000
  5. Step 5: Solve for x
    x = 1,323,000/1,500
  6. Step 6: Final answer
    x = 882

Related Problems

Find fourth proportional to 750, 1,125 and 294
Half scale
Find fourth proportional to 3,000, 4,500 and 1,176
Double scale
Find fourth proportional to 1,501, 2,251.50 and 589
Similar ratio
Find fourth proportional to 2,250, 3,375 and 882
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.