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Finding the Fourth Proportional to 780.80, 1,171.35 and 232.97

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Solution

The fourth proportional to 780.80, 1,171.35 and 232.97 is: 349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.80 : 1,171.35 = 232.97 : x
  2. Step 2: Convert to fraction form
    780.80/1,171.35 = 232.97/x
  3. Step 3: Cross multiply
    780.80x = 1,171.35 × 232.97
  4. Step 4: Simplify right side
    780.80x = 272,889.41
  5. Step 5: Solve for x
    x = 272,889.41/780.80
  6. Step 6: Final answer
    x = 349.50

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1.5x scale

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.