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Finding the Fourth Proportional to 780.32, 1,077.20 and 584.48

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Solution

The fourth proportional to 780.32, 1,077.20 and 584.48 is: 806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,077.20 = 584.48 : x
  2. Step 2: Convert to fraction form
    780.32/1,077.20 = 584.48/x
  3. Step 3: Cross multiply
    780.32x = 1,077.20 × 584.48
  4. Step 4: Simplify right side
    780.32x = 629,601.86
  5. Step 5: Solve for x
    x = 629,601.86/780.32
  6. Step 6: Final answer
    x = 806.85

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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.