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Finding the Fourth Proportional to 579.77, 865.82 and 548.18

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Solution

The fourth proportional to 579.77, 865.82 and 548.18 is: 818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.77 : 865.82 = 548.18 : x
  2. Step 2: Convert to fraction form
    579.77/865.82 = 548.18/x
  3. Step 3: Cross multiply
    579.77x = 865.82 × 548.18
  4. Step 4: Simplify right side
    579.77x = 474,618.14
  5. Step 5: Solve for x
    x = 474,618.14/579.77
  6. Step 6: Final answer
    x = 818.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.