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Finding the Fourth Proportional to 417.46, 623.92 and 384.63

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Solution

The fourth proportional to 417.46, 623.92 and 384.63 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 623.92 = 384.63 : x
  2. Step 2: Convert to fraction form
    417.46/623.92 = 384.63/x
  3. Step 3: Cross multiply
    417.46x = 623.92 × 384.63
  4. Step 4: Simplify right side
    417.46x = 239,978.35
  5. Step 5: Solve for x
    x = 239,978.35/417.46
  6. Step 6: Final answer
    x = 574.85

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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.