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Finding the Fourth Proportional to 632.72, 948.54 and 415.82

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Solution

The fourth proportional to 632.72, 948.54 and 415.82 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 948.54 = 415.82 : x
  2. Step 2: Convert to fraction form
    632.72/948.54 = 415.82/x
  3. Step 3: Cross multiply
    632.72x = 948.54 × 415.82
  4. Step 4: Simplify right side
    632.72x = 394,421.90
  5. Step 5: Solve for x
    x = 394,421.90/632.72
  6. Step 6: Final answer
    x = 623.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.