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Finding the Fourth Proportional to 728.25, 1,005 and 417.75

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Solution

The fourth proportional to 728.25, 1,005 and 417.75 is: 576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.25 : 1,005 = 417.75 : x
  2. Step 2: Convert to fraction form
    728.25/1,005 = 417.75/x
  3. Step 3: Cross multiply
    728.25x = 1,005 × 417.75
  4. Step 4: Simplify right side
    728.25x = 419,838.75
  5. Step 5: Solve for x
    x = 419,838.75/728.25
  6. Step 6: Final answer
    x = 576.50

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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.