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Finding the Fourth Proportional to 840.14, 1,259.86 and 401.32

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Solution

The fourth proportional to 840.14, 1,259.86 and 401.32 is: 601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.14 : 1,259.86 = 401.32 : x
  2. Step 2: Convert to fraction form
    840.14/1,259.86 = 401.32/x
  3. Step 3: Cross multiply
    840.14x = 1,259.86 × 401.32
  4. Step 4: Simplify right side
    840.14x = 505,607.02
  5. Step 5: Solve for x
    x = 505,607.02/840.14
  6. Step 6: Final answer
    x = 601.81

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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.