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Finding the Fourth Proportional to 802.27, 1,195.39 and 766.89

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Solution

The fourth proportional to 802.27, 1,195.39 and 766.89 is: 1,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.27 : 1,195.39 = 766.89 : x
  2. Step 2: Convert to fraction form
    802.27/1,195.39 = 766.89/x
  3. Step 3: Cross multiply
    802.27x = 1,195.39 × 766.89
  4. Step 4: Simplify right side
    802.27x = 916,732.64
  5. Step 5: Solve for x
    x = 916,732.64/802.27
  6. Step 6: Final answer
    x = 1,142.67

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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.