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Finding the Fourth Proportional to 496.35, 683.69 and 417.57

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Solution

The fourth proportional to 496.35, 683.69 and 417.57 is: 575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.35 : 683.69 = 417.57 : x
  2. Step 2: Convert to fraction form
    496.35/683.69 = 417.57/x
  3. Step 3: Cross multiply
    496.35x = 683.69 × 417.57
  4. Step 4: Simplify right side
    496.35x = 285,486.35
  5. Step 5: Solve for x
    x = 285,486.35/496.35
  6. Step 6: Final answer
    x = 575.17

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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.