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Finding the Fourth Proportional to 892.10, 1,337.49 and 429.44

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Solution

The fourth proportional to 892.10, 1,337.49 and 429.44 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.10 : 1,337.49 = 429.44 : x
  2. Step 2: Convert to fraction form
    892.10/1,337.49 = 429.44/x
  3. Step 3: Cross multiply
    892.10x = 1,337.49 × 429.44
  4. Step 4: Simplify right side
    892.10x = 574,365.02
  5. Step 5: Solve for x
    x = 574,365.02/892.10
  6. Step 6: Final answer
    x = 643.84

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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.