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Finding the Fourth Proportional to 969.69, 1,337.56 and 638.00

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Solution

The fourth proportional to 969.69, 1,337.56 and 638.00 is: 880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.69 : 1,337.56 = 638.00 : x
  2. Step 2: Convert to fraction form
    969.69/1,337.56 = 638.00/x
  3. Step 3: Cross multiply
    969.69x = 1,337.56 × 638.00
  4. Step 4: Simplify right side
    969.69x = 853,355.00
  5. Step 5: Solve for x
    x = 853,355.00/969.69
  6. Step 6: Final answer
    x = 880.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.