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Finding the Fourth Proportional to 780.92, 1,076.19 and 559.49

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Solution

The fourth proportional to 780.92, 1,076.19 and 559.49 is: 771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.92 : 1,076.19 = 559.49 : x
  2. Step 2: Convert to fraction form
    780.92/1,076.19 = 559.49/x
  3. Step 3: Cross multiply
    780.92x = 1,076.19 × 559.49
  4. Step 4: Simplify right side
    780.92x = 602,117.54
  5. Step 5: Solve for x
    x = 602,117.54/780.92
  6. Step 6: Final answer
    x = 771.04

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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.