Home / 1,025-1,537.50-417

Finding the Fourth Proportional to 1,025, 1,537.50 and 417

Calculator

Solution

The fourth proportional to 1,025, 1,537.50 and 417 is: 625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025 : 1,537.50 = 417 : x
  2. Step 2: Convert to fraction form
    1,025/1,537.50 = 417/x
  3. Step 3: Cross multiply
    1,025x = 1,537.50 × 417
  4. Step 4: Simplify right side
    1,025x = 641,137.50
  5. Step 5: Solve for x
    x = 641,137.50/1,025
  6. Step 6: Final answer
    x = 625.50

Related Problems

Find fourth proportional to 512.50, 768.75 and 208.50
Half scale
Find fourth proportional to 2,050, 3,075 and 834
Double scale
Find fourth proportional to 1,026, 1,539 and 418
Similar ratio
Find fourth proportional to 1,537.50, 2,306.25 and 625.50
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.