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Finding the Fourth Proportional to 780.12, 1,076.49 and 461.19

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Solution

The fourth proportional to 780.12, 1,076.49 and 461.19 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.12 : 1,076.49 = 461.19 : x
  2. Step 2: Convert to fraction form
    780.12/1,076.49 = 461.19/x
  3. Step 3: Cross multiply
    780.12x = 1,076.49 × 461.19
  4. Step 4: Simplify right side
    780.12x = 496,466.42
  5. Step 5: Solve for x
    x = 496,466.42/780.12
  6. Step 6: Final answer
    x = 636.40

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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.