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Finding the Fourth Proportional to 1,179.69, 1,769.40 and 314.07

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Solution

The fourth proportional to 1,179.69, 1,769.40 and 314.07 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.69 : 1,769.40 = 314.07 : x
  2. Step 2: Convert to fraction form
    1,179.69/1,769.40 = 314.07/x
  3. Step 3: Cross multiply
    1,179.69x = 1,769.40 × 314.07
  4. Step 4: Simplify right side
    1,179.69x = 555,720.67
  5. Step 5: Solve for x
    x = 555,720.67/1,179.69
  6. Step 6: Final answer
    x = 471.07

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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.