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Finding the Fourth Proportional to 671.00, 1,006.67 and 260.17

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Solution

The fourth proportional to 671.00, 1,006.67 and 260.17 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.00 : 1,006.67 = 260.17 : x
  2. Step 2: Convert to fraction form
    671.00/1,006.67 = 260.17/x
  3. Step 3: Cross multiply
    671.00x = 1,006.67 × 260.17
  4. Step 4: Simplify right side
    671.00x = 261,903.47
  5. Step 5: Solve for x
    x = 261,903.47/671.00
  6. Step 6: Final answer
    x = 390.32

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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.