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Finding the Fourth Proportional to 527.88, 792.63 and 518.16

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Solution

The fourth proportional to 527.88, 792.63 and 518.16 is: 778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.88 : 792.63 = 518.16 : x
  2. Step 2: Convert to fraction form
    527.88/792.63 = 518.16/x
  3. Step 3: Cross multiply
    527.88x = 792.63 × 518.16
  4. Step 4: Simplify right side
    527.88x = 410,709.16
  5. Step 5: Solve for x
    x = 410,709.16/527.88
  6. Step 6: Final answer
    x = 778.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.