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Finding the Fourth Proportional to 440.94, 608.27 and 409.67

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Solution

The fourth proportional to 440.94, 608.27 and 409.67 is: 565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 608.27 = 409.67 : x
  2. Step 2: Convert to fraction form
    440.94/608.27 = 409.67/x
  3. Step 3: Cross multiply
    440.94x = 608.27 × 409.67
  4. Step 4: Simplify right side
    440.94x = 249,189.97
  5. Step 5: Solve for x
    x = 249,189.97/440.94
  6. Step 6: Final answer
    x = 565.13

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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.