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Finding the Fourth Proportional to 780.32, 1,177.34 and 773.84

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Solution

The fourth proportional to 780.32, 1,177.34 and 773.84 is: 1,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,177.34 = 773.84 : x
  2. Step 2: Convert to fraction form
    780.32/1,177.34 = 773.84/x
  3. Step 3: Cross multiply
    780.32x = 1,177.34 × 773.84
  4. Step 4: Simplify right side
    780.32x = 911,072.79
  5. Step 5: Solve for x
    x = 911,072.79/780.32
  6. Step 6: Final answer
    x = 1,167.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.