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Finding the Fourth Proportional to 577.72, 795.18 and 478.36

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Solution

The fourth proportional to 577.72, 795.18 and 478.36 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 795.18 = 478.36 : x
  2. Step 2: Convert to fraction form
    577.72/795.18 = 478.36/x
  3. Step 3: Cross multiply
    577.72x = 795.18 × 478.36
  4. Step 4: Simplify right side
    577.72x = 380,382.30
  5. Step 5: Solve for x
    x = 380,382.30/577.72
  6. Step 6: Final answer
    x = 658.42

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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.