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Finding the Fourth Proportional to 1,200.17, 1,656.31 and 728.11

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Solution

The fourth proportional to 1,200.17, 1,656.31 and 728.11 is: 1,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.17 : 1,656.31 = 728.11 : x
  2. Step 2: Convert to fraction form
    1,200.17/1,656.31 = 728.11/x
  3. Step 3: Cross multiply
    1,200.17x = 1,656.31 × 728.11
  4. Step 4: Simplify right side
    1,200.17x = 1,205,975.87
  5. Step 5: Solve for x
    x = 1,205,975.87/1,200.17
  6. Step 6: Final answer
    x = 1,004.84

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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.