Home / 1,307.71-1,961.84-442

Finding the Fourth Proportional to 1,307.71, 1,961.84 and 442

Calculator

Solution

The fourth proportional to 1,307.71, 1,961.84 and 442 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.71 : 1,961.84 = 442 : x
  2. Step 2: Convert to fraction form
    1,307.71/1,961.84 = 442/x
  3. Step 3: Cross multiply
    1,307.71x = 1,961.84 × 442
  4. Step 4: Simplify right side
    1,307.71x = 867,133.28
  5. Step 5: Solve for x
    x = 867,133.28/1,307.71
  6. Step 6: Final answer
    x = 663.09

Related Problems

Find fourth proportional to 653.86, 980.92 and 221
Half scale
Find fourth proportional to 2,615.42, 3,923.68 and 884
Double scale
Find fourth proportional to 1,308.71, 1,963.34 and 443
Similar ratio
Find fourth proportional to 1,961.57, 2,942.76 and 663
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.