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Finding the Fourth Proportional to 892.21, 1,337.40 and 452.65

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Solution

The fourth proportional to 892.21, 1,337.40 and 452.65 is: 678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.21 : 1,337.40 = 452.65 : x
  2. Step 2: Convert to fraction form
    892.21/1,337.40 = 452.65/x
  3. Step 3: Cross multiply
    892.21x = 1,337.40 × 452.65
  4. Step 4: Simplify right side
    892.21x = 605,374.11
  5. Step 5: Solve for x
    x = 605,374.11/892.21
  6. Step 6: Final answer
    x = 678.51

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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.