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Finding the Fourth Proportional to 780.28, 1,076.88 and 469.84

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Solution

The fourth proportional to 780.28, 1,076.88 and 469.84 is: 648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.28 : 1,076.88 = 469.84 : x
  2. Step 2: Convert to fraction form
    780.28/1,076.88 = 469.84/x
  3. Step 3: Cross multiply
    780.28x = 1,076.88 × 469.84
  4. Step 4: Simplify right side
    780.28x = 505,961.30
  5. Step 5: Solve for x
    x = 505,961.30/780.28
  6. Step 6: Final answer
    x = 648.44

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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.