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Finding the Fourth Proportional to 780.70, 1,171.16 and 232.81

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Solution

The fourth proportional to 780.70, 1,171.16 and 232.81 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.70 : 1,171.16 = 232.81 : x
  2. Step 2: Convert to fraction form
    780.70/1,171.16 = 232.81/x
  3. Step 3: Cross multiply
    780.70x = 1,171.16 × 232.81
  4. Step 4: Simplify right side
    780.70x = 272,657.76
  5. Step 5: Solve for x
    x = 272,657.76/780.70
  6. Step 6: Final answer
    x = 349.25

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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.