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Finding the Fourth Proportional to 1,338.50, 2,007.75 and 569

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Solution

The fourth proportional to 1,338.50, 2,007.75 and 569 is: 853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.50 : 2,007.75 = 569 : x
  2. Step 2: Convert to fraction form
    1,338.50/2,007.75 = 569/x
  3. Step 3: Cross multiply
    1,338.50x = 2,007.75 × 569
  4. Step 4: Simplify right side
    1,338.50x = 1,142,409.75
  5. Step 5: Solve for x
    x = 1,142,409.75/1,338.50
  6. Step 6: Final answer
    x = 853.50

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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.