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Finding the Fourth Proportional to 1,964.03, 2,945.28 and 647.73

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Solution

The fourth proportional to 1,964.03, 2,945.28 and 647.73 is: 971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.03 : 2,945.28 = 647.73 : x
  2. Step 2: Convert to fraction form
    1,964.03/2,945.28 = 647.73/x
  3. Step 3: Cross multiply
    1,964.03x = 2,945.28 × 647.73
  4. Step 4: Simplify right side
    1,964.03x = 1,907,746.21
  5. Step 5: Solve for x
    x = 1,907,746.21/1,964.03
  6. Step 6: Final answer
    x = 971.35

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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.