Home / 780.09-1,170.15-232.26

Finding the Fourth Proportional to 780.09, 1,170.15 and 232.26

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Solution

The fourth proportional to 780.09, 1,170.15 and 232.26 is: 348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.09 : 1,170.15 = 232.26 : x
  2. Step 2: Convert to fraction form
    780.09/1,170.15 = 232.26/x
  3. Step 3: Cross multiply
    780.09x = 1,170.15 × 232.26
  4. Step 4: Simplify right side
    780.09x = 271,779.04
  5. Step 5: Solve for x
    x = 271,779.04/780.09
  6. Step 6: Final answer
    x = 348.39

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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.