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Finding the Fourth Proportional to 817.57, 1,227.57 and 802.99

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Solution

The fourth proportional to 817.57, 1,227.57 and 802.99 is: 1,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.57 : 1,227.57 = 802.99 : x
  2. Step 2: Convert to fraction form
    817.57/1,227.57 = 802.99/x
  3. Step 3: Cross multiply
    817.57x = 1,227.57 × 802.99
  4. Step 4: Simplify right side
    817.57x = 985,726.43
  5. Step 5: Solve for x
    x = 985,726.43/817.57
  6. Step 6: Final answer
    x = 1,205.68

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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.