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Finding the Fourth Proportional to 1,166.79, 1,750.20 and 301.17

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Solution

The fourth proportional to 1,166.79, 1,750.20 and 301.17 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.79 : 1,750.20 = 301.17 : x
  2. Step 2: Convert to fraction form
    1,166.79/1,750.20 = 301.17/x
  3. Step 3: Cross multiply
    1,166.79x = 1,750.20 × 301.17
  4. Step 4: Simplify right side
    1,166.79x = 527,107.73
  5. Step 5: Solve for x
    x = 527,107.73/1,166.79
  6. Step 6: Final answer
    x = 451.76

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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.