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Finding the Fourth Proportional to 409.63, 613.74 and 287.66

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Solution

The fourth proportional to 409.63, 613.74 and 287.66 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 613.74 = 287.66 : x
  2. Step 2: Convert to fraction form
    409.63/613.74 = 287.66/x
  3. Step 3: Cross multiply
    409.63x = 613.74 × 287.66
  4. Step 4: Simplify right side
    409.63x = 176,548.45
  5. Step 5: Solve for x
    x = 176,548.45/409.63
  6. Step 6: Final answer
    x = 430.99

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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.