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Finding the Fourth Proportional to 1,179.85, 1,769.79 and 358.13

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Solution

The fourth proportional to 1,179.85, 1,769.79 and 358.13 is: 537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.85 : 1,769.79 = 358.13 : x
  2. Step 2: Convert to fraction form
    1,179.85/1,769.79 = 358.13/x
  3. Step 3: Cross multiply
    1,179.85x = 1,769.79 × 358.13
  4. Step 4: Simplify right side
    1,179.85x = 633,820.63
  5. Step 5: Solve for x
    x = 633,820.63/1,179.85
  6. Step 6: Final answer
    x = 537.20

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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.