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Finding the Fourth Proportional to 780.31, 1,170.34 and 293.29

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Solution

The fourth proportional to 780.31, 1,170.34 and 293.29 is: 439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.31 : 1,170.34 = 293.29 : x
  2. Step 2: Convert to fraction form
    780.31/1,170.34 = 293.29/x
  3. Step 3: Cross multiply
    780.31x = 1,170.34 × 293.29
  4. Step 4: Simplify right side
    780.31x = 343,249.02
  5. Step 5: Solve for x
    x = 343,249.02/780.31
  6. Step 6: Final answer
    x = 439.89

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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.