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Finding the Fourth Proportional to 727.85, 1,005.17 and 479.36

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Solution

The fourth proportional to 727.85, 1,005.17 and 479.36 is: 662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,005.17 = 479.36 : x
  2. Step 2: Convert to fraction form
    727.85/1,005.17 = 479.36/x
  3. Step 3: Cross multiply
    727.85x = 1,005.17 × 479.36
  4. Step 4: Simplify right side
    727.85x = 481,830.87
  5. Step 5: Solve for x
    x = 481,830.87/727.85
  6. Step 6: Final answer
    x = 662.00

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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.