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Finding the Fourth Proportional to 440.04, 663.17 and 412.68

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Solution

The fourth proportional to 440.04, 663.17 and 412.68 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.04 : 663.17 = 412.68 : x
  2. Step 2: Convert to fraction form
    440.04/663.17 = 412.68/x
  3. Step 3: Cross multiply
    440.04x = 663.17 × 412.68
  4. Step 4: Simplify right side
    440.04x = 273,674.93
  5. Step 5: Solve for x
    x = 273,674.93/440.04
  6. Step 6: Final answer
    x = 621.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.