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Finding the Fourth Proportional to 440.46, 605.21 and 412.02

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Solution

The fourth proportional to 440.46, 605.21 and 412.02 is: 566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 605.21 = 412.02 : x
  2. Step 2: Convert to fraction form
    440.46/605.21 = 412.02/x
  3. Step 3: Cross multiply
    440.46x = 605.21 × 412.02
  4. Step 4: Simplify right side
    440.46x = 249,356.56
  5. Step 5: Solve for x
    x = 249,356.56/440.46
  6. Step 6: Final answer
    x = 566.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.