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Finding the Fourth Proportional to 1,200.38, 1,656.47 and 676.31

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Solution

The fourth proportional to 1,200.38, 1,656.47 and 676.31 is: 933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.38 : 1,656.47 = 676.31 : x
  2. Step 2: Convert to fraction form
    1,200.38/1,656.47 = 676.31/x
  3. Step 3: Cross multiply
    1,200.38x = 1,656.47 × 676.31
  4. Step 4: Simplify right side
    1,200.38x = 1,120,283.84
  5. Step 5: Solve for x
    x = 1,120,283.84/1,200.38
  6. Step 6: Final answer
    x = 933.27

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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.