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Finding the Fourth Proportional to 780.37, 1,170.21 and 293.08

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Solution

The fourth proportional to 780.37, 1,170.21 and 293.08 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.37 : 1,170.21 = 293.08 : x
  2. Step 2: Convert to fraction form
    780.37/1,170.21 = 293.08/x
  3. Step 3: Cross multiply
    780.37x = 1,170.21 × 293.08
  4. Step 4: Simplify right side
    780.37x = 342,965.15
  5. Step 5: Solve for x
    x = 342,965.15/780.37
  6. Step 6: Final answer
    x = 439.49

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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.