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Finding the Fourth Proportional to 1,069.50, 1,604.25 and 339.09

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Solution

The fourth proportional to 1,069.50, 1,604.25 and 339.09 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.50 : 1,604.25 = 339.09 : x
  2. Step 2: Convert to fraction form
    1,069.50/1,604.25 = 339.09/x
  3. Step 3: Cross multiply
    1,069.50x = 1,604.25 × 339.09
  4. Step 4: Simplify right side
    1,069.50x = 543,985.13
  5. Step 5: Solve for x
    x = 543,985.13/1,069.50
  6. Step 6: Final answer
    x = 508.64

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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.