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Finding the Fourth Proportional to 417.70, 629.83 and 364.24

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Solution

The fourth proportional to 417.70, 629.83 and 364.24 is: 549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 629.83 = 364.24 : x
  2. Step 2: Convert to fraction form
    417.70/629.83 = 364.24/x
  3. Step 3: Cross multiply
    417.70x = 629.83 × 364.24
  4. Step 4: Simplify right side
    417.70x = 229,409.28
  5. Step 5: Solve for x
    x = 229,409.28/417.70
  6. Step 6: Final answer
    x = 549.22

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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.