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Finding the Fourth Proportional to 417.11, 623.36 and 384.27

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Solution

The fourth proportional to 417.11, 623.36 and 384.27 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 623.36 = 384.27 : x
  2. Step 2: Convert to fraction form
    417.11/623.36 = 384.27/x
  3. Step 3: Cross multiply
    417.11x = 623.36 × 384.27
  4. Step 4: Simplify right side
    417.11x = 239,537.17
  5. Step 5: Solve for x
    x = 239,537.17/417.11
  6. Step 6: Final answer
    x = 574.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.