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Finding the Fourth Proportional to 577.92, 795.78 and 576.12

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Solution

The fourth proportional to 577.92, 795.78 and 576.12 is: 793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 795.78 = 576.12 : x
  2. Step 2: Convert to fraction form
    577.92/795.78 = 576.12/x
  3. Step 3: Cross multiply
    577.92x = 795.78 × 576.12
  4. Step 4: Simplify right side
    577.92x = 458,464.77
  5. Step 5: Solve for x
    x = 458,464.77/577.92
  6. Step 6: Final answer
    x = 793.30

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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.