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Finding the Fourth Proportional to 761.58, 1,052.19 and 636.84

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Solution

The fourth proportional to 761.58, 1,052.19 and 636.84 is: 879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.58 : 1,052.19 = 636.84 : x
  2. Step 2: Convert to fraction form
    761.58/1,052.19 = 636.84/x
  3. Step 3: Cross multiply
    761.58x = 1,052.19 × 636.84
  4. Step 4: Simplify right side
    761.58x = 670,076.68
  5. Step 5: Solve for x
    x = 670,076.68/761.58
  6. Step 6: Final answer
    x = 879.85

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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.