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Finding the Fourth Proportional to 415.61, 623.47 and 360.33

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Solution

The fourth proportional to 415.61, 623.47 and 360.33 is: 540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 623.47 = 360.33 : x
  2. Step 2: Convert to fraction form
    415.61/623.47 = 360.33/x
  3. Step 3: Cross multiply
    415.61x = 623.47 × 360.33
  4. Step 4: Simplify right side
    415.61x = 224,654.04
  5. Step 5: Solve for x
    x = 224,654.04/415.61
  6. Step 6: Final answer
    x = 540.54

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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.