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Finding the Fourth Proportional to 1,013.25, 1,518.85 and 769.26

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Solution

The fourth proportional to 1,013.25, 1,518.85 and 769.26 is: 1,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.25 : 1,518.85 = 769.26 : x
  2. Step 2: Convert to fraction form
    1,013.25/1,518.85 = 769.26/x
  3. Step 3: Cross multiply
    1,013.25x = 1,518.85 × 769.26
  4. Step 4: Simplify right side
    1,013.25x = 1,168,390.55
  5. Step 5: Solve for x
    x = 1,168,390.55/1,013.25
  6. Step 6: Final answer
    x = 1,153.11

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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.