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Finding the Fourth Proportional to 780.89, 1,076.47 and 559.44

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Solution

The fourth proportional to 780.89, 1,076.47 and 559.44 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.89 : 1,076.47 = 559.44 : x
  2. Step 2: Convert to fraction form
    780.89/1,076.47 = 559.44/x
  3. Step 3: Cross multiply
    780.89x = 1,076.47 × 559.44
  4. Step 4: Simplify right side
    780.89x = 602,218.98
  5. Step 5: Solve for x
    x = 602,218.98/780.89
  6. Step 6: Final answer
    x = 771.20

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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.