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Finding the Fourth Proportional to 464.86, 638.33 and 415.72

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Solution

The fourth proportional to 464.86, 638.33 and 415.72 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.86 : 638.33 = 415.72 : x
  2. Step 2: Convert to fraction form
    464.86/638.33 = 415.72/x
  3. Step 3: Cross multiply
    464.86x = 638.33 × 415.72
  4. Step 4: Simplify right side
    464.86x = 265,366.77
  5. Step 5: Solve for x
    x = 265,366.77/464.86
  6. Step 6: Final answer
    x = 570.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.