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Finding the Fourth Proportional to 617.60, 851.63 and 440.58

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Solution

The fourth proportional to 617.60, 851.63 and 440.58 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 851.63 = 440.58 : x
  2. Step 2: Convert to fraction form
    617.60/851.63 = 440.58/x
  3. Step 3: Cross multiply
    617.60x = 851.63 × 440.58
  4. Step 4: Simplify right side
    617.60x = 375,211.15
  5. Step 5: Solve for x
    x = 375,211.15/617.60
  6. Step 6: Final answer
    x = 607.54

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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.