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Finding the Fourth Proportional to 671.07, 926.16 and 409.02

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Solution

The fourth proportional to 671.07, 926.16 and 409.02 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.07 : 926.16 = 409.02 : x
  2. Step 2: Convert to fraction form
    671.07/926.16 = 409.02/x
  3. Step 3: Cross multiply
    671.07x = 926.16 × 409.02
  4. Step 4: Simplify right side
    671.07x = 378,817.96
  5. Step 5: Solve for x
    x = 378,817.96/671.07
  6. Step 6: Final answer
    x = 564.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.