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Finding the Fourth Proportional to 1,012.45, 1,396.68 and 618.79

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Solution

The fourth proportional to 1,012.45, 1,396.68 and 618.79 is: 853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.45 : 1,396.68 = 618.79 : x
  2. Step 2: Convert to fraction form
    1,012.45/1,396.68 = 618.79/x
  3. Step 3: Cross multiply
    1,012.45x = 1,396.68 × 618.79
  4. Step 4: Simplify right side
    1,012.45x = 864,251.62
  5. Step 5: Solve for x
    x = 864,251.62/1,012.45
  6. Step 6: Final answer
    x = 853.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.