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Finding the Fourth Proportional to 1,123.21, 1,684.44 and 429.72

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Solution

The fourth proportional to 1,123.21, 1,684.44 and 429.72 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.21 : 1,684.44 = 429.72 : x
  2. Step 2: Convert to fraction form
    1,123.21/1,684.44 = 429.72/x
  3. Step 3: Cross multiply
    1,123.21x = 1,684.44 × 429.72
  4. Step 4: Simplify right side
    1,123.21x = 723,837.56
  5. Step 5: Solve for x
    x = 723,837.56/1,123.21
  6. Step 6: Final answer
    x = 644.44

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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.