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Finding the Fourth Proportional to 668.97, 1,009.51 and 648.45

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Solution

The fourth proportional to 668.97, 1,009.51 and 648.45 is: 978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.97 : 1,009.51 = 648.45 : x
  2. Step 2: Convert to fraction form
    668.97/1,009.51 = 648.45/x
  3. Step 3: Cross multiply
    668.97x = 1,009.51 × 648.45
  4. Step 4: Simplify right side
    668.97x = 654,615.14
  5. Step 5: Solve for x
    x = 654,615.14/668.97
  6. Step 6: Final answer
    x = 978.54

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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.