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Finding the Fourth Proportional to 617.15, 852.05 and 459.60

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Solution

The fourth proportional to 617.15, 852.05 and 459.60 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.15 : 852.05 = 459.60 : x
  2. Step 2: Convert to fraction form
    617.15/852.05 = 459.60/x
  3. Step 3: Cross multiply
    617.15x = 852.05 × 459.60
  4. Step 4: Simplify right side
    617.15x = 391,606.52
  5. Step 5: Solve for x
    x = 391,606.52/617.15
  6. Step 6: Final answer
    x = 634.54

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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.