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Finding the Fourth Proportional to 1,963.47, 2,945.38 and 647.23

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Solution

The fourth proportional to 1,963.47, 2,945.38 and 647.23 is: 970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.47 : 2,945.38 = 647.23 : x
  2. Step 2: Convert to fraction form
    1,963.47/2,945.38 = 647.23/x
  3. Step 3: Cross multiply
    1,963.47x = 2,945.38 × 647.23
  4. Step 4: Simplify right side
    1,963.47x = 1,906,333.28
  5. Step 5: Solve for x
    x = 1,906,333.28/1,963.47
  6. Step 6: Final answer
    x = 970.90

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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.