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Finding the Fourth Proportional to 840.59, 1,261.19 and 401.97

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Solution

The fourth proportional to 840.59, 1,261.19 and 401.97 is: 603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.59 : 1,261.19 = 401.97 : x
  2. Step 2: Convert to fraction form
    840.59/1,261.19 = 401.97/x
  3. Step 3: Cross multiply
    840.59x = 1,261.19 × 401.97
  4. Step 4: Simplify right side
    840.59x = 506,958.53
  5. Step 5: Solve for x
    x = 506,958.53/840.59
  6. Step 6: Final answer
    x = 603.10

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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.