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Finding the Fourth Proportional to 780.78, 1,076.67 and 547.50

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Solution

The fourth proportional to 780.78, 1,076.67 and 547.50 is: 754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.78 : 1,076.67 = 547.50 : x
  2. Step 2: Convert to fraction form
    780.78/1,076.67 = 547.50/x
  3. Step 3: Cross multiply
    780.78x = 1,076.67 × 547.50
  4. Step 4: Simplify right side
    780.78x = 589,476.83
  5. Step 5: Solve for x
    x = 589,476.83/780.78
  6. Step 6: Final answer
    x = 754.98

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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.