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Finding the Fourth Proportional to 1,469.70, 2,202.82 and 646.25

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Solution

The fourth proportional to 1,469.70, 2,202.82 and 646.25 is: 968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.70 : 2,202.82 = 646.25 : x
  2. Step 2: Convert to fraction form
    1,469.70/2,202.82 = 646.25/x
  3. Step 3: Cross multiply
    1,469.70x = 2,202.82 × 646.25
  4. Step 4: Simplify right side
    1,469.70x = 1,423,577.47
  5. Step 5: Solve for x
    x = 1,423,577.47/1,469.70
  6. Step 6: Final answer
    x = 968.62

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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.