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Finding the Fourth Proportional to 412.59, 565.89 and 363.39

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Solution

The fourth proportional to 412.59, 565.89 and 363.39 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 565.89 = 363.39 : x
  2. Step 2: Convert to fraction form
    412.59/565.89 = 363.39/x
  3. Step 3: Cross multiply
    412.59x = 565.89 × 363.39
  4. Step 4: Simplify right side
    412.59x = 205,635.28
  5. Step 5: Solve for x
    x = 205,635.28/412.59
  6. Step 6: Final answer
    x = 498.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.