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Finding the Fourth Proportional to 816.86, 1,217.97 and 802.28

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Solution

The fourth proportional to 816.86, 1,217.97 and 802.28 is: 1,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.86 : 1,217.97 = 802.28 : x
  2. Step 2: Convert to fraction form
    816.86/1,217.97 = 802.28/x
  3. Step 3: Cross multiply
    816.86x = 1,217.97 × 802.28
  4. Step 4: Simplify right side
    816.86x = 977,148.96
  5. Step 5: Solve for x
    x = 977,148.96/816.86
  6. Step 6: Final answer
    x = 1,196.23

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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.