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Finding the Fourth Proportional to 527.42, 790.11 and 332.61

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Solution

The fourth proportional to 527.42, 790.11 and 332.61 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 790.11 = 332.61 : x
  2. Step 2: Convert to fraction form
    527.42/790.11 = 332.61/x
  3. Step 3: Cross multiply
    527.42x = 790.11 × 332.61
  4. Step 4: Simplify right side
    527.42x = 262,798.49
  5. Step 5: Solve for x
    x = 262,798.49/527.42
  6. Step 6: Final answer
    x = 498.28

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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.