Home / 1,504.24-2,256.36-734.80

Finding the Fourth Proportional to 1,504.24, 2,256.36 and 734.80

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Solution

The fourth proportional to 1,504.24, 2,256.36 and 734.80 is: 1,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.24 : 2,256.36 = 734.80 : x
  2. Step 2: Convert to fraction form
    1,504.24/2,256.36 = 734.80/x
  3. Step 3: Cross multiply
    1,504.24x = 2,256.36 × 734.80
  4. Step 4: Simplify right side
    1,504.24x = 1,657,973.33
  5. Step 5: Solve for x
    x = 1,657,973.33/1,504.24
  6. Step 6: Final answer
    x = 1,102.20

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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.