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Finding the Fourth Proportional to 577.68, 860.96 and 576.78

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Solution

The fourth proportional to 577.68, 860.96 and 576.78 is: 859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 860.96 = 576.78 : x
  2. Step 2: Convert to fraction form
    577.68/860.96 = 576.78/x
  3. Step 3: Cross multiply
    577.68x = 860.96 × 576.78
  4. Step 4: Simplify right side
    577.68x = 496,584.51
  5. Step 5: Solve for x
    x = 496,584.51/577.68
  6. Step 6: Final answer
    x = 859.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.