Home / 780.22-1,170.75-293.23

Finding the Fourth Proportional to 780.22, 1,170.75 and 293.23

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Solution

The fourth proportional to 780.22, 1,170.75 and 293.23 is: 440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.22 : 1,170.75 = 293.23 : x
  2. Step 2: Convert to fraction form
    780.22/1,170.75 = 293.23/x
  3. Step 3: Cross multiply
    780.22x = 1,170.75 × 293.23
  4. Step 4: Simplify right side
    780.22x = 343,299.02
  5. Step 5: Solve for x
    x = 343,299.02/780.22
  6. Step 6: Final answer
    x = 440.00

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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.