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Finding the Fourth Proportional to 669.97, 1,003.90 and 486.51

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Solution

The fourth proportional to 669.97, 1,003.90 and 486.51 is: 729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.97 : 1,003.90 = 486.51 : x
  2. Step 2: Convert to fraction form
    669.97/1,003.90 = 486.51/x
  3. Step 3: Cross multiply
    669.97x = 1,003.90 × 486.51
  4. Step 4: Simplify right side
    669.97x = 488,407.39
  5. Step 5: Solve for x
    x = 488,407.39/669.97
  6. Step 6: Final answer
    x = 729.00

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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.