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Finding the Fourth Proportional to 441.99, 659.75 and 405.47

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Solution

The fourth proportional to 441.99, 659.75 and 405.47 is: 605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.99 : 659.75 = 405.47 : x
  2. Step 2: Convert to fraction form
    441.99/659.75 = 405.47/x
  3. Step 3: Cross multiply
    441.99x = 659.75 × 405.47
  4. Step 4: Simplify right side
    441.99x = 267,508.45
  5. Step 5: Solve for x
    x = 267,508.45/441.99
  6. Step 6: Final answer
    x = 605.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.