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Finding the Fourth Proportional to 551.90, 829.28 and 415.82

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Solution

The fourth proportional to 551.90, 829.28 and 415.82 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 829.28 = 415.82 : x
  2. Step 2: Convert to fraction form
    551.90/829.28 = 415.82/x
  3. Step 3: Cross multiply
    551.90x = 829.28 × 415.82
  4. Step 4: Simplify right side
    551.90x = 344,831.21
  5. Step 5: Solve for x
    x = 344,831.21/551.90
  6. Step 6: Final answer
    x = 624.81

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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.