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Finding the Fourth Proportional to 577.10, 862.39 and 415.10

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Solution

The fourth proportional to 577.10, 862.39 and 415.10 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 862.39 = 415.10 : x
  2. Step 2: Convert to fraction form
    577.10/862.39 = 415.10/x
  3. Step 3: Cross multiply
    577.10x = 862.39 × 415.10
  4. Step 4: Simplify right side
    577.10x = 357,978.09
  5. Step 5: Solve for x
    x = 357,978.09/577.10
  6. Step 6: Final answer
    x = 620.31

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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.