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Finding the Fourth Proportional to 1,202.72, 1,801.76 and 739.15

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Solution

The fourth proportional to 1,202.72, 1,801.76 and 739.15 is: 1,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.72 : 1,801.76 = 739.15 : x
  2. Step 2: Convert to fraction form
    1,202.72/1,801.76 = 739.15/x
  3. Step 3: Cross multiply
    1,202.72x = 1,801.76 × 739.15
  4. Step 4: Simplify right side
    1,202.72x = 1,331,762.70
  5. Step 5: Solve for x
    x = 1,331,762.70/1,202.72
  6. Step 6: Final answer
    x = 1,107.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.