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Finding the Fourth Proportional to 1,069.98, 1,604.94 and 339.60

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Solution

The fourth proportional to 1,069.98, 1,604.94 and 339.60 is: 509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.98 : 1,604.94 = 339.60 : x
  2. Step 2: Convert to fraction form
    1,069.98/1,604.94 = 339.60/x
  3. Step 3: Cross multiply
    1,069.98x = 1,604.94 × 339.60
  4. Step 4: Simplify right side
    1,069.98x = 545,037.62
  5. Step 5: Solve for x
    x = 545,037.62/1,069.98
  6. Step 6: Final answer
    x = 509.39

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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.