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Finding the Fourth Proportional to 1,101.01, 1,516.84 and 768.91

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Solution

The fourth proportional to 1,101.01, 1,516.84 and 768.91 is: 1,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.01 : 1,516.84 = 768.91 : x
  2. Step 2: Convert to fraction form
    1,101.01/1,516.84 = 768.91/x
  3. Step 3: Cross multiply
    1,101.01x = 1,516.84 × 768.91
  4. Step 4: Simplify right side
    1,101.01x = 1,166,307.73
  5. Step 5: Solve for x
    x = 1,166,307.73/1,101.01
  6. Step 6: Final answer
    x = 1,059.31

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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.