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Finding the Fourth Proportional to 973.41, 1,459.34 and 664.49

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Solution

The fourth proportional to 973.41, 1,459.34 and 664.49 is: 996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.41 : 1,459.34 = 664.49 : x
  2. Step 2: Convert to fraction form
    973.41/1,459.34 = 664.49/x
  3. Step 3: Cross multiply
    973.41x = 1,459.34 × 664.49
  4. Step 4: Simplify right side
    973.41x = 969,716.84
  5. Step 5: Solve for x
    x = 969,716.84/973.41
  6. Step 6: Final answer
    x = 996.21

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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.