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Finding the Fourth Proportional to 579.94, 863.87 and 549.16

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Solution

The fourth proportional to 579.94, 863.87 and 549.16 is: 818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.94 : 863.87 = 549.16 : x
  2. Step 2: Convert to fraction form
    579.94/863.87 = 549.16/x
  3. Step 3: Cross multiply
    579.94x = 863.87 × 549.16
  4. Step 4: Simplify right side
    579.94x = 474,402.85
  5. Step 5: Solve for x
    x = 474,402.85/579.94
  6. Step 6: Final answer
    x = 818.02

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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.