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Finding the Fourth Proportional to 971.09, 1,456.77 and 321.68

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Solution

The fourth proportional to 971.09, 1,456.77 and 321.68 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.09 : 1,456.77 = 321.68 : x
  2. Step 2: Convert to fraction form
    971.09/1,456.77 = 321.68/x
  3. Step 3: Cross multiply
    971.09x = 1,456.77 × 321.68
  4. Step 4: Simplify right side
    971.09x = 468,606.49
  5. Step 5: Solve for x
    x = 468,606.49/971.09
  6. Step 6: Final answer
    x = 482.56

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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.