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Finding the Fourth Proportional to 417.60, 571.28 and 415.68

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Solution

The fourth proportional to 417.60, 571.28 and 415.68 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 571.28 = 415.68 : x
  2. Step 2: Convert to fraction form
    417.60/571.28 = 415.68/x
  3. Step 3: Cross multiply
    417.60x = 571.28 × 415.68
  4. Step 4: Simplify right side
    417.60x = 237,469.67
  5. Step 5: Solve for x
    x = 237,469.67/417.60
  6. Step 6: Final answer
    x = 568.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.