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Finding the Fourth Proportional to 758.25, 1,043.63 and 730.31

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Solution

The fourth proportional to 758.25, 1,043.63 and 730.31 is: 1,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.25 : 1,043.63 = 730.31 : x
  2. Step 2: Convert to fraction form
    758.25/1,043.63 = 730.31/x
  3. Step 3: Cross multiply
    758.25x = 1,043.63 × 730.31
  4. Step 4: Simplify right side
    758.25x = 762,164.56
  5. Step 5: Solve for x
    x = 762,164.56/758.25
  6. Step 6: Final answer
    x = 1,005.16

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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.