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Finding the Fourth Proportional to 671.71, 1,005.37 and 647.63

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Solution

The fourth proportional to 671.71, 1,005.37 and 647.63 is: 969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.71 : 1,005.37 = 647.63 : x
  2. Step 2: Convert to fraction form
    671.71/1,005.37 = 647.63/x
  3. Step 3: Cross multiply
    671.71x = 1,005.37 × 647.63
  4. Step 4: Simplify right side
    671.71x = 651,102.75
  5. Step 5: Solve for x
    x = 651,102.75/671.71
  6. Step 6: Final answer
    x = 969.33

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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.