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Finding the Fourth Proportional to 840.82, 1,159.50 and 758.78

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Solution

The fourth proportional to 840.82, 1,159.50 and 758.78 is: 1,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.82 : 1,159.50 = 758.78 : x
  2. Step 2: Convert to fraction form
    840.82/1,159.50 = 758.78/x
  3. Step 3: Cross multiply
    840.82x = 1,159.50 × 758.78
  4. Step 4: Simplify right side
    840.82x = 879,805.41
  5. Step 5: Solve for x
    x = 879,805.41/840.82
  6. Step 6: Final answer
    x = 1,046.37

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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.