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Finding the Fourth Proportional to 527.21, 793.90 and 459.52

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Solution

The fourth proportional to 527.21, 793.90 and 459.52 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.21 : 793.90 = 459.52 : x
  2. Step 2: Convert to fraction form
    527.21/793.90 = 459.52/x
  3. Step 3: Cross multiply
    527.21x = 793.90 × 459.52
  4. Step 4: Simplify right side
    527.21x = 364,815.98
  5. Step 5: Solve for x
    x = 364,815.98/527.21
  6. Step 6: Final answer
    x = 691.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.