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Finding the Fourth Proportional to 417.63, 629.64 and 378.45

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Solution

The fourth proportional to 417.63, 629.64 and 378.45 is: 570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.63 : 629.64 = 378.45 : x
  2. Step 2: Convert to fraction form
    417.63/629.64 = 378.45/x
  3. Step 3: Cross multiply
    417.63x = 629.64 × 378.45
  4. Step 4: Simplify right side
    417.63x = 238,287.26
  5. Step 5: Solve for x
    x = 238,287.26/417.63
  6. Step 6: Final answer
    x = 570.57

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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.