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Finding the Fourth Proportional to 579.76, 863.79 and 542.52

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Solution

The fourth proportional to 579.76, 863.79 and 542.52 is: 808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.76 : 863.79 = 542.52 : x
  2. Step 2: Convert to fraction form
    579.76/863.79 = 542.52/x
  3. Step 3: Cross multiply
    579.76x = 863.79 × 542.52
  4. Step 4: Simplify right side
    579.76x = 468,623.35
  5. Step 5: Solve for x
    x = 468,623.35/579.76
  6. Step 6: Final answer
    x = 808.31

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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.