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Finding the Fourth Proportional to 415.42, 623.95 and 404.10

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Solution

The fourth proportional to 415.42, 623.95 and 404.10 is: 606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 623.95 = 404.10 : x
  2. Step 2: Convert to fraction form
    415.42/623.95 = 404.10/x
  3. Step 3: Cross multiply
    415.42x = 623.95 × 404.10
  4. Step 4: Simplify right side
    415.42x = 252,138.20
  5. Step 5: Solve for x
    x = 252,138.20/415.42
  6. Step 6: Final answer
    x = 606.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.