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Finding the Fourth Proportional to 418.03, 630.22 and 395.71

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Solution

The fourth proportional to 418.03, 630.22 and 395.71 is: 596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.03 : 630.22 = 395.71 : x
  2. Step 2: Convert to fraction form
    418.03/630.22 = 395.71/x
  3. Step 3: Cross multiply
    418.03x = 630.22 × 395.71
  4. Step 4: Simplify right side
    418.03x = 249,384.36
  5. Step 5: Solve for x
    x = 249,384.36/418.03
  6. Step 6: Final answer
    x = 596.57

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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.