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Finding the Fourth Proportional to 969.17, 1,336.97 and 654.45

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Solution

The fourth proportional to 969.17, 1,336.97 and 654.45 is: 902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.17 : 1,336.97 = 654.45 : x
  2. Step 2: Convert to fraction form
    969.17/1,336.97 = 654.45/x
  3. Step 3: Cross multiply
    969.17x = 1,336.97 × 654.45
  4. Step 4: Simplify right side
    969.17x = 874,980.84
  5. Step 5: Solve for x
    x = 874,980.84/969.17
  6. Step 6: Final answer
    x = 902.81

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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.