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Finding the Fourth Proportional to 527.62, 792.73 and 342.64

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Solution

The fourth proportional to 527.62, 792.73 and 342.64 is: 514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 792.73 = 342.64 : x
  2. Step 2: Convert to fraction form
    527.62/792.73 = 342.64/x
  3. Step 3: Cross multiply
    527.62x = 792.73 × 342.64
  4. Step 4: Simplify right side
    527.62x = 271,621.01
  5. Step 5: Solve for x
    x = 271,621.01/527.62
  6. Step 6: Final answer
    x = 514.80

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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.