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Finding the Fourth Proportional to 671.69, 1,006.71 and 286.13

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Solution

The fourth proportional to 671.69, 1,006.71 and 286.13 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.69 : 1,006.71 = 286.13 : x
  2. Step 2: Convert to fraction form
    671.69/1,006.71 = 286.13/x
  3. Step 3: Cross multiply
    671.69x = 1,006.71 × 286.13
  4. Step 4: Simplify right side
    671.69x = 288,044.90
  5. Step 5: Solve for x
    x = 288,044.90/671.69
  6. Step 6: Final answer
    x = 428.84

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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.