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Finding the Fourth Proportional to 840.20, 1,259.79 and 377.89

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Solution

The fourth proportional to 840.20, 1,259.79 and 377.89 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,259.79 = 377.89 : x
  2. Step 2: Convert to fraction form
    840.20/1,259.79 = 377.89/x
  3. Step 3: Cross multiply
    840.20x = 1,259.79 × 377.89
  4. Step 4: Simplify right side
    840.20x = 476,062.04
  5. Step 5: Solve for x
    x = 476,062.04/840.20
  6. Step 6: Final answer
    x = 566.61

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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.