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Finding the Fourth Proportional to 409.02, 616.58 and 405.38

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Solution

The fourth proportional to 409.02, 616.58 and 405.38 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 616.58 = 405.38 : x
  2. Step 2: Convert to fraction form
    409.02/616.58 = 405.38/x
  3. Step 3: Cross multiply
    409.02x = 616.58 × 405.38
  4. Step 4: Simplify right side
    409.02x = 249,949.20
  5. Step 5: Solve for x
    x = 249,949.20/409.02
  6. Step 6: Final answer
    x = 611.09

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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.