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Finding the Fourth Proportional to 668.54, 1,004.16 and 515.18

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Solution

The fourth proportional to 668.54, 1,004.16 and 515.18 is: 773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.54 : 1,004.16 = 515.18 : x
  2. Step 2: Convert to fraction form
    668.54/1,004.16 = 515.18/x
  3. Step 3: Cross multiply
    668.54x = 1,004.16 × 515.18
  4. Step 4: Simplify right side
    668.54x = 517,323.15
  5. Step 5: Solve for x
    x = 517,323.15/668.54
  6. Step 6: Final answer
    x = 773.81

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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.