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Finding the Fourth Proportional to 1,069.78, 1,604.70 and 453.51

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Solution

The fourth proportional to 1,069.78, 1,604.70 and 453.51 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.78 : 1,604.70 = 453.51 : x
  2. Step 2: Convert to fraction form
    1,069.78/1,604.70 = 453.51/x
  3. Step 3: Cross multiply
    1,069.78x = 1,604.70 × 453.51
  4. Step 4: Simplify right side
    1,069.78x = 727,747.50
  5. Step 5: Solve for x
    x = 727,747.50/1,069.78
  6. Step 6: Final answer
    x = 680.28

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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.