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Finding the Fourth Proportional to 1,338.56, 2,007.90 and 569

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Solution

The fourth proportional to 1,338.56, 2,007.90 and 569 is: 853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.56 : 2,007.90 = 569 : x
  2. Step 2: Convert to fraction form
    1,338.56/2,007.90 = 569/x
  3. Step 3: Cross multiply
    1,338.56x = 2,007.90 × 569
  4. Step 4: Simplify right side
    1,338.56x = 1,142,495.10
  5. Step 5: Solve for x
    x = 1,142,495.10/1,338.56
  6. Step 6: Final answer
    x = 853.53

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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.