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Finding the Fourth Proportional to 840.46, 1,260.94 and 749.78

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Solution

The fourth proportional to 840.46, 1,260.94 and 749.78 is: 1,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.46 : 1,260.94 = 749.78 : x
  2. Step 2: Convert to fraction form
    840.46/1,260.94 = 749.78/x
  3. Step 3: Cross multiply
    840.46x = 1,260.94 × 749.78
  4. Step 4: Simplify right side
    840.46x = 945,427.59
  5. Step 5: Solve for x
    x = 945,427.59/840.46
  6. Step 6: Final answer
    x = 1,124.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.