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Finding the Fourth Proportional to 1,173.03, 1,617.13 and 730.63

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Solution

The fourth proportional to 1,173.03, 1,617.13 and 730.63 is: 1,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.03 : 1,617.13 = 730.63 : x
  2. Step 2: Convert to fraction form
    1,173.03/1,617.13 = 730.63/x
  3. Step 3: Cross multiply
    1,173.03x = 1,617.13 × 730.63
  4. Step 4: Simplify right side
    1,173.03x = 1,181,523.69
  5. Step 5: Solve for x
    x = 1,181,523.69/1,173.03
  6. Step 6: Final answer
    x = 1,007.24

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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.