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Finding the Fourth Proportional to 1,174.33, 1,617.78 and 954.73

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Solution

The fourth proportional to 1,174.33, 1,617.78 and 954.73 is: 1,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.33 : 1,617.78 = 954.73 : x
  2. Step 2: Convert to fraction form
    1,174.33/1,617.78 = 954.73/x
  3. Step 3: Cross multiply
    1,174.33x = 1,617.78 × 954.73
  4. Step 4: Simplify right side
    1,174.33x = 1,544,543.10
  5. Step 5: Solve for x
    x = 1,544,543.10/1,174.33
  6. Step 6: Final answer
    x = 1,315.25

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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.