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Finding the Fourth Proportional to 417.58, 576.72 and 378.23

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Solution

The fourth proportional to 417.58, 576.72 and 378.23 is: 522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.58 : 576.72 = 378.23 : x
  2. Step 2: Convert to fraction form
    417.58/576.72 = 378.23/x
  3. Step 3: Cross multiply
    417.58x = 576.72 × 378.23
  4. Step 4: Simplify right side
    417.58x = 218,129.92
  5. Step 5: Solve for x
    x = 218,129.92/417.58
  6. Step 6: Final answer
    x = 522.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.