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Finding the Fourth Proportional to 671.19, 1,005.97 and 285.63

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Solution

The fourth proportional to 671.19, 1,005.97 and 285.63 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.19 : 1,005.97 = 285.63 : x
  2. Step 2: Convert to fraction form
    671.19/1,005.97 = 285.63/x
  3. Step 3: Cross multiply
    671.19x = 1,005.97 × 285.63
  4. Step 4: Simplify right side
    671.19x = 287,335.21
  5. Step 5: Solve for x
    x = 287,335.21/671.19
  6. Step 6: Final answer
    x = 428.10

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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.