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Finding the Fourth Proportional to 780.71, 1,171.06 and 203.58

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Solution

The fourth proportional to 780.71, 1,171.06 and 203.58 is: 305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.71 : 1,171.06 = 203.58 : x
  2. Step 2: Convert to fraction form
    780.71/1,171.06 = 203.58/x
  3. Step 3: Cross multiply
    780.71x = 1,171.06 × 203.58
  4. Step 4: Simplify right side
    780.71x = 238,403.89
  5. Step 5: Solve for x
    x = 238,403.89/780.71
  6. Step 6: Final answer
    x = 305.37

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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.