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Finding the Fourth Proportional to 664.84, 1,003.39 and 647.56

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Solution

The fourth proportional to 664.84, 1,003.39 and 647.56 is: 977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 1,003.39 = 647.56 : x
  2. Step 2: Convert to fraction form
    664.84/1,003.39 = 647.56/x
  3. Step 3: Cross multiply
    664.84x = 1,003.39 × 647.56
  4. Step 4: Simplify right side
    664.84x = 649,755.23
  5. Step 5: Solve for x
    x = 649,755.23/664.84
  6. Step 6: Final answer
    x = 977.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.