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Finding the Fourth Proportional to 844.41, 1,265.75 and 405.01

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Solution

The fourth proportional to 844.41, 1,265.75 and 405.01 is: 607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.41 : 1,265.75 = 405.01 : x
  2. Step 2: Convert to fraction form
    844.41/1,265.75 = 405.01/x
  3. Step 3: Cross multiply
    844.41x = 1,265.75 × 405.01
  4. Step 4: Simplify right side
    844.41x = 512,644.76
  5. Step 5: Solve for x
    x = 512,644.76/844.41
  6. Step 6: Final answer
    x = 607.11

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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.