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Finding the Fourth Proportional to 780.27, 1,076.54 and 546.99

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Solution

The fourth proportional to 780.27, 1,076.54 and 546.99 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.27 : 1,076.54 = 546.99 : x
  2. Step 2: Convert to fraction form
    780.27/1,076.54 = 546.99/x
  3. Step 3: Cross multiply
    780.27x = 1,076.54 × 546.99
  4. Step 4: Simplify right side
    780.27x = 588,853.88
  5. Step 5: Solve for x
    x = 588,853.88/780.27
  6. Step 6: Final answer
    x = 754.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.