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Finding the Fourth Proportional to 408.81, 613.68 and 407.30

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Solution

The fourth proportional to 408.81, 613.68 and 407.30 is: 611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 613.68 = 407.30 : x
  2. Step 2: Convert to fraction form
    408.81/613.68 = 407.30/x
  3. Step 3: Cross multiply
    408.81x = 613.68 × 407.30
  4. Step 4: Simplify right side
    408.81x = 249,947.27
  5. Step 5: Solve for x
    x = 249,947.27/408.81
  6. Step 6: Final answer
    x = 611.40

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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.