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Finding the Fourth Proportional to 527.96, 793.02 and 405.80

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Solution

The fourth proportional to 527.96, 793.02 and 405.80 is: 609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.96 : 793.02 = 405.80 : x
  2. Step 2: Convert to fraction form
    527.96/793.02 = 405.80/x
  3. Step 3: Cross multiply
    527.96x = 793.02 × 405.80
  4. Step 4: Simplify right side
    527.96x = 321,807.52
  5. Step 5: Solve for x
    x = 321,807.52/527.96
  6. Step 6: Final answer
    x = 609.53

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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.