Home / 1,167.24-1,611.72-904.80

Finding the Fourth Proportional to 1,167.24, 1,611.72 and 904.80

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Solution

The fourth proportional to 1,167.24, 1,611.72 and 904.80 is: 1,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.24 : 1,611.72 = 904.80 : x
  2. Step 2: Convert to fraction form
    1,167.24/1,611.72 = 904.80/x
  3. Step 3: Cross multiply
    1,167.24x = 1,611.72 × 904.80
  4. Step 4: Simplify right side
    1,167.24x = 1,458,284.26
  5. Step 5: Solve for x
    x = 1,458,284.26/1,167.24
  6. Step 6: Final answer
    x = 1,249.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.