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Finding the Fourth Proportional to 728.14, 1,003.64 and 506.70

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Solution

The fourth proportional to 728.14, 1,003.64 and 506.70 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.14 : 1,003.64 = 506.70 : x
  2. Step 2: Convert to fraction form
    728.14/1,003.64 = 506.70/x
  3. Step 3: Cross multiply
    728.14x = 1,003.64 × 506.70
  4. Step 4: Simplify right side
    728.14x = 508,544.39
  5. Step 5: Solve for x
    x = 508,544.39/728.14
  6. Step 6: Final answer
    x = 698.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.