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Finding the Fourth Proportional to 840.20, 1,260.50 and 493.82

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Solution

The fourth proportional to 840.20, 1,260.50 and 493.82 is: 740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,260.50 = 493.82 : x
  2. Step 2: Convert to fraction form
    840.20/1,260.50 = 493.82/x
  3. Step 3: Cross multiply
    840.20x = 1,260.50 × 493.82
  4. Step 4: Simplify right side
    840.20x = 622,460.11
  5. Step 5: Solve for x
    x = 622,460.11/840.20
  6. Step 6: Final answer
    x = 740.85

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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.