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Finding the Fourth Proportional to 617.60, 848.12 and 519.18

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Solution

The fourth proportional to 617.60, 848.12 and 519.18 is: 712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 848.12 = 519.18 : x
  2. Step 2: Convert to fraction form
    617.60/848.12 = 519.18/x
  3. Step 3: Cross multiply
    617.60x = 848.12 × 519.18
  4. Step 4: Simplify right side
    617.60x = 440,326.94
  5. Step 5: Solve for x
    x = 440,326.94/617.60
  6. Step 6: Final answer
    x = 712.96

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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.