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Finding the Fourth Proportional to 417.82, 629.05 and 369.35

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Solution

The fourth proportional to 417.82, 629.05 and 369.35 is: 556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.82 : 629.05 = 369.35 : x
  2. Step 2: Convert to fraction form
    417.82/629.05 = 369.35/x
  3. Step 3: Cross multiply
    417.82x = 629.05 × 369.35
  4. Step 4: Simplify right side
    417.82x = 232,339.62
  5. Step 5: Solve for x
    x = 232,339.62/417.82
  6. Step 6: Final answer
    x = 556.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.