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Finding the Fourth Proportional to 527.63, 792.13 and 405.98

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Solution

The fourth proportional to 527.63, 792.13 and 405.98 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.63 : 792.13 = 405.98 : x
  2. Step 2: Convert to fraction form
    527.63/792.13 = 405.98/x
  3. Step 3: Cross multiply
    527.63x = 792.13 × 405.98
  4. Step 4: Simplify right side
    527.63x = 321,588.94
  5. Step 5: Solve for x
    x = 321,588.94/527.63
  6. Step 6: Final answer
    x = 609.50

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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.