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Finding the Fourth Proportional to 1,172.01, 1,617.38 and 648.07

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Solution

The fourth proportional to 1,172.01, 1,617.38 and 648.07 is: 894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.01 : 1,617.38 = 648.07 : x
  2. Step 2: Convert to fraction form
    1,172.01/1,617.38 = 648.07/x
  3. Step 3: Cross multiply
    1,172.01x = 1,617.38 × 648.07
  4. Step 4: Simplify right side
    1,172.01x = 1,048,175.46
  5. Step 5: Solve for x
    x = 1,048,175.46/1,172.01
  6. Step 6: Final answer
    x = 894.34

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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.