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Finding the Fourth Proportional to 1,203.72, 1,801.73 and 647.04

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Solution

The fourth proportional to 1,203.72, 1,801.73 and 647.04 is: 968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.72 : 1,801.73 = 647.04 : x
  2. Step 2: Convert to fraction form
    1,203.72/1,801.73 = 647.04/x
  3. Step 3: Cross multiply
    1,203.72x = 1,801.73 × 647.04
  4. Step 4: Simplify right side
    1,203.72x = 1,165,788.14
  5. Step 5: Solve for x
    x = 1,165,788.14/1,203.72
  6. Step 6: Final answer
    x = 968.49

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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.