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Finding the Fourth Proportional to 414.59, 620.02 and 368.61

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Solution

The fourth proportional to 414.59, 620.02 and 368.61 is: 551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 620.02 = 368.61 : x
  2. Step 2: Convert to fraction form
    414.59/620.02 = 368.61/x
  3. Step 3: Cross multiply
    414.59x = 620.02 × 368.61
  4. Step 4: Simplify right side
    414.59x = 228,543.71
  5. Step 5: Solve for x
    x = 228,543.71/414.59
  6. Step 6: Final answer
    x = 551.26

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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.