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Finding the Fourth Proportional to 927.21, 1,391.63 and 494.67

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Solution

The fourth proportional to 927.21, 1,391.63 and 494.67 is: 742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.21 : 1,391.63 = 494.67 : x
  2. Step 2: Convert to fraction form
    927.21/1,391.63 = 494.67/x
  3. Step 3: Cross multiply
    927.21x = 1,391.63 × 494.67
  4. Step 4: Simplify right side
    927.21x = 688,395.14
  5. Step 5: Solve for x
    x = 688,395.14/927.21
  6. Step 6: Final answer
    x = 742.44

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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.