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Finding the Fourth Proportional to 484.60, 729.49 and 417.62

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Solution

The fourth proportional to 484.60, 729.49 and 417.62 is: 628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.60 : 729.49 = 417.62 : x
  2. Step 2: Convert to fraction form
    484.60/729.49 = 417.62/x
  3. Step 3: Cross multiply
    484.60x = 729.49 × 417.62
  4. Step 4: Simplify right side
    484.60x = 304,644.92
  5. Step 5: Solve for x
    x = 304,644.92/484.60
  6. Step 6: Final answer
    x = 628.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.