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Finding the Fourth Proportional to 840, 1,259.46 and 401.01

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Solution

The fourth proportional to 840, 1,259.46 and 401.01 is: 601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,259.46 = 401.01 : x
  2. Step 2: Convert to fraction form
    840/1,259.46 = 401.01/x
  3. Step 3: Cross multiply
    840x = 1,259.46 × 401.01
  4. Step 4: Simplify right side
    840x = 505,054.05
  5. Step 5: Solve for x
    x = 505,054.05/840
  6. Step 6: Final answer
    x = 601.25

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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.