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Finding the Fourth Proportional to 403.76, 602.17 and 395.64

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Solution

The fourth proportional to 403.76, 602.17 and 395.64 is: 590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 602.17 = 395.64 : x
  2. Step 2: Convert to fraction form
    403.76/602.17 = 395.64/x
  3. Step 3: Cross multiply
    403.76x = 602.17 × 395.64
  4. Step 4: Simplify right side
    403.76x = 238,242.54
  5. Step 5: Solve for x
    x = 238,242.54/403.76
  6. Step 6: Final answer
    x = 590.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.