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Finding the Fourth Proportional to 617.60, 848.11 and 519.19

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Solution

The fourth proportional to 617.60, 848.11 and 519.19 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 848.11 = 519.19 : x
  2. Step 2: Convert to fraction form
    617.60/848.11 = 519.19/x
  3. Step 3: Cross multiply
    617.60x = 848.11 × 519.19
  4. Step 4: Simplify right side
    617.60x = 440,330.23
  5. Step 5: Solve for x
    x = 440,330.23/617.60
  6. Step 6: Final answer
    x = 712.97

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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.