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Finding the Fourth Proportional to 802.72, 1,204.09 and 780.85

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Solution

The fourth proportional to 802.72, 1,204.09 and 780.85 is: 1,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.72 : 1,204.09 = 780.85 : x
  2. Step 2: Convert to fraction form
    802.72/1,204.09 = 780.85/x
  3. Step 3: Cross multiply
    802.72x = 1,204.09 × 780.85
  4. Step 4: Simplify right side
    802.72x = 940,213.23
  5. Step 5: Solve for x
    x = 940,213.23/802.72
  6. Step 6: Final answer
    x = 1,171.28

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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.