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Finding the Fourth Proportional to 727.64, 1,003.75 and 506.21

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Solution

The fourth proportional to 727.64, 1,003.75 and 506.21 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.64 : 1,003.75 = 506.21 : x
  2. Step 2: Convert to fraction form
    727.64/1,003.75 = 506.21/x
  3. Step 3: Cross multiply
    727.64x = 1,003.75 × 506.21
  4. Step 4: Simplify right side
    727.64x = 508,102.00
  5. Step 5: Solve for x
    x = 508,102.00/727.64
  6. Step 6: Final answer
    x = 698.29

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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.