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Finding the Fourth Proportional to 1,004.39, 1,385.60 and 631.58

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Solution

The fourth proportional to 1,004.39, 1,385.60 and 631.58 is: 871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.39 : 1,385.60 = 631.58 : x
  2. Step 2: Convert to fraction form
    1,004.39/1,385.60 = 631.58/x
  3. Step 3: Cross multiply
    1,004.39x = 1,385.60 × 631.58
  4. Step 4: Simplify right side
    1,004.39x = 875,107.16
  5. Step 5: Solve for x
    x = 875,107.16/1,004.39
  6. Step 6: Final answer
    x = 871.29

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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.