Home / 1,307.50-1,961.25-538

Finding the Fourth Proportional to 1,307.50, 1,961.25 and 538

Calculator

Solution

The fourth proportional to 1,307.50, 1,961.25 and 538 is: 807

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.50 : 1,961.25 = 538 : x
  2. Step 2: Convert to fraction form
    1,307.50/1,961.25 = 538/x
  3. Step 3: Cross multiply
    1,307.50x = 1,961.25 × 538
  4. Step 4: Simplify right side
    1,307.50x = 1,055,152.50
  5. Step 5: Solve for x
    x = 1,055,152.50/1,307.50
  6. Step 6: Final answer
    x = 807

Related Problems

Find fourth proportional to 653.75, 980.63 and 269
Half scale
Find fourth proportional to 2,615, 3,922.50 and 1,076
Double scale
Find fourth proportional to 1,308.50, 1,962.75 and 539
Similar ratio
Find fourth proportional to 1,961.25, 2,941.88 and 807
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.