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Finding the Fourth Proportional to 892.66, 1,339.17 and 527.71

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Solution

The fourth proportional to 892.66, 1,339.17 and 527.71 is: 791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.66 : 1,339.17 = 527.71 : x
  2. Step 2: Convert to fraction form
    892.66/1,339.17 = 527.71/x
  3. Step 3: Cross multiply
    892.66x = 1,339.17 × 527.71
  4. Step 4: Simplify right side
    892.66x = 706,693.40
  5. Step 5: Solve for x
    x = 706,693.40/892.66
  6. Step 6: Final answer
    x = 791.67

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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.