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Finding the Fourth Proportional to 415.24, 575.58 and 408.35

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Solution

The fourth proportional to 415.24, 575.58 and 408.35 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 575.58 = 408.35 : x
  2. Step 2: Convert to fraction form
    415.24/575.58 = 408.35/x
  3. Step 3: Cross multiply
    415.24x = 575.58 × 408.35
  4. Step 4: Simplify right side
    415.24x = 235,038.09
  5. Step 5: Solve for x
    x = 235,038.09/415.24
  6. Step 6: Final answer
    x = 566.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.