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Finding the Fourth Proportional to 1,473.69, 2,033.97 and 876.31

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Solution

The fourth proportional to 1,473.69, 2,033.97 and 876.31 is: 1,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.69 : 2,033.97 = 876.31 : x
  2. Step 2: Convert to fraction form
    1,473.69/2,033.97 = 876.31/x
  3. Step 3: Cross multiply
    1,473.69x = 2,033.97 × 876.31
  4. Step 4: Simplify right side
    1,473.69x = 1,782,393.34
  5. Step 5: Solve for x
    x = 1,782,393.34/1,473.69
  6. Step 6: Final answer
    x = 1,209.48

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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.