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Finding the Fourth Proportional to 1,200.73, 1,657.05 and 728.65

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Solution

The fourth proportional to 1,200.73, 1,657.05 and 728.65 is: 1,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.73 : 1,657.05 = 728.65 : x
  2. Step 2: Convert to fraction form
    1,200.73/1,657.05 = 728.65/x
  3. Step 3: Cross multiply
    1,200.73x = 1,657.05 × 728.65
  4. Step 4: Simplify right side
    1,200.73x = 1,207,409.48
  5. Step 5: Solve for x
    x = 1,207,409.48/1,200.73
  6. Step 6: Final answer
    x = 1,005.56

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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.