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Finding the Fourth Proportional to 802.25, 1,205.40 and 769.85

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Solution

The fourth proportional to 802.25, 1,205.40 and 769.85 is: 1,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.25 : 1,205.40 = 769.85 : x
  2. Step 2: Convert to fraction form
    802.25/1,205.40 = 769.85/x
  3. Step 3: Cross multiply
    802.25x = 1,205.40 × 769.85
  4. Step 4: Simplify right side
    802.25x = 927,971.16
  5. Step 5: Solve for x
    x = 927,971.16/802.25
  6. Step 6: Final answer
    x = 1,156.72

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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.