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Finding the Fourth Proportional to 1,004.31, 1,385.96 and 556.19

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Solution

The fourth proportional to 1,004.31, 1,385.96 and 556.19 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.31 : 1,385.96 = 556.19 : x
  2. Step 2: Convert to fraction form
    1,004.31/1,385.96 = 556.19/x
  3. Step 3: Cross multiply
    1,004.31x = 1,385.96 × 556.19
  4. Step 4: Simplify right side
    1,004.31x = 770,847.38
  5. Step 5: Solve for x
    x = 770,847.38/1,004.31
  6. Step 6: Final answer
    x = 767.54

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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.