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Finding the Fourth Proportional to 817.76, 1,220.31 and 730.14

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Solution

The fourth proportional to 817.76, 1,220.31 and 730.14 is: 1,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.76 : 1,220.31 = 730.14 : x
  2. Step 2: Convert to fraction form
    817.76/1,220.31 = 730.14/x
  3. Step 3: Cross multiply
    817.76x = 1,220.31 × 730.14
  4. Step 4: Simplify right side
    817.76x = 890,997.14
  5. Step 5: Solve for x
    x = 890,997.14/817.76
  6. Step 6: Final answer
    x = 1,089.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.