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Finding the Fourth Proportional to 417.35, 575.00 and 395.79

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Solution

The fourth proportional to 417.35, 575.00 and 395.79 is: 545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.35 : 575.00 = 395.79 : x
  2. Step 2: Convert to fraction form
    417.35/575.00 = 395.79/x
  3. Step 3: Cross multiply
    417.35x = 575.00 × 395.79
  4. Step 4: Simplify right side
    417.35x = 227,576.60
  5. Step 5: Solve for x
    x = 227,576.60/417.35
  6. Step 6: Final answer
    x = 545.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.